
Time bar (total: 12.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 4 |
| 60% | 37.5% | 25% | 0% | 0% | 37.5% | 0% | 5 |
| 77.8% | 43.7% | 12.5% | 0% | 0% | 43.7% | 0% | 6 |
| 88.2% | 46.9% | 6.2% | 0% | 0% | 46.9% | 0% | 7 |
| 93.9% | 48.4% | 3.1% | 0% | 0% | 48.4% | 0% | 8 |
| 96.9% | 49.2% | 1.6% | 0% | 0% | 49.2% | 0% | 9 |
| 98.4% | 49.6% | 0.8% | 0% | 0% | 49.6% | 0% | 10 |
| 99.2% | 49.8% | 0.4% | 0% | 0% | 49.8% | 0% | 11 |
| 99.6% | 49.9% | 0.2% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 612.0ms | 8 256× | 0 | valid |
| 1.0ms | 26× | 0 | invalid |
ival-sqrt: 111.0ms (24.2% of total)ival-mult: 81.0ms (17.7% of total)ival-atan: 75.0ms (16.4% of total)ival-sub: 73.0ms (15.9% of total)ival-div: 61.0ms (13.3% of total)ival-add: 40.0ms (8.7% of total)exact: 7.0ms (1.5% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)| 2× | egg-herbie |
| 208× | accelerator-lowering-fma.f32 |
| 208× | accelerator-lowering-fma.f64 |
| 160× | times-frac |
| 136× | associate-*l* |
| 132× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 35 |
| 1 | 42 | 33 |
| 2 | 71 | 33 |
| 3 | 134 | 33 |
| 4 | 250 | 33 |
| 5 | 527 | 33 |
| 6 | 1000 | 33 |
| 7 | 1040 | 33 |
| 8 | 1048 | 33 |
| 0 | 9 | 11 |
| 1 | 18 | 11 |
| 2 | 24 | 11 |
| 3 | 35 | 11 |
| 4 | 58 | 11 |
| 5 | 92 | 11 |
| 6 | 127 | 11 |
| 7 | 200 | 11 |
| 8 | 320 | 11 |
| 9 | 487 | 11 |
| 10 | 519 | 11 |
| 0 | 519 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x)))))) |
(neg (* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x))))))) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x)))))) |
(* 2 (atan (sqrt (/ (+ 1 x) (- 1 x))))) |
(neg (* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x))))))) |
(* (atan (sqrt (/ (+ 1 x) (- 1 x)))) -2) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 46.0ms | 512× | 0 | valid |
Compiled 116 to 40 computations (65.5% saved)
ival-div: 14.0ms (43.4% of total)ival-atan: 4.0ms (12.4% of total)ival-sqrt: 4.0ms (12.4% of total)ival-add: 3.0ms (9.3% of total)ival-mult: 3.0ms (9.3% of total)ival-sub: 3.0ms (9.3% of total)exact: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 12 to 9 computations (25% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 208× | accelerator-lowering-fma.f32 |
| 208× | accelerator-lowering-fma.f64 |
| 132× | *-lowering-*.f32 |
| 132× | *-lowering-*.f64 |
| 74× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 1 | 18 | 44 |
| 2 | 24 | 44 |
| 3 | 35 | 44 |
| 4 | 58 | 44 |
| 5 | 92 | 44 |
| 6 | 127 | 44 |
| 7 | 200 | 44 |
| 8 | 320 | 44 |
| 9 | 487 | 44 |
| 10 | 519 | 44 |
| 0 | 519 | 44 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
2 |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt (/ (- 1 x) (+ 1 x))) |
(/ (- 1 x) (+ 1 x)) |
(- 1 x) |
1 |
x |
(+ 1 x) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
2 |
#s(literal 2 binary64) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt (/ (- 1 x) (+ 1 x))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/ (- 1 x) (+ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 20.0ms | 256× | 0 | valid |
Compiled 46 to 11 computations (76.1% saved)
ival-div: 2.0ms (18.5% of total)ival-mult: 2.0ms (18.5% of total)ival-atan: 2.0ms (18.5% of total)ival-sub: 2.0ms (18.5% of total)ival-sqrt: 2.0ms (18.5% of total)ival-add: 1.0ms (9.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (sqrt (/ (- 1 x) (+ 1 x)))> |
#<alt (/ (- 1 x) (+ 1 x))> |
| Outputs |
|---|
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))> |
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))> |
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))> |
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))> |
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))> |
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))> |
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))> |
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))> |
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))> |
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))> |
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt (/ (- 1 x) (+ 1 x))) |
| 1.0ms | x | @ | -inf | (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
| 0.0ms | x | @ | -inf | (sqrt (/ (- 1 x) (+ 1 x))) |
| 0.0ms | x | @ | inf | (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
| 0.0ms | x | @ | 0 | (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
| 1× | batch-egg-rewrite |
| 2 152× | accelerator-lowering-fma.f32 |
| 2 152× | accelerator-lowering-fma.f64 |
| 2 042× | *-lowering-*.f32 |
| 2 042× | *-lowering-*.f64 |
| 1 870× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 46 | 36 |
| 2 | 333 | 36 |
| 3 | 4591 | 8 |
| 0 | 9829 | 8 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt (/ (- 1 x) (+ 1 x))) |
(/ (- 1 x) (+ 1 x)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(neg.f64 (atan.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) |
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
| 1× | egg-herbie |
| 10 954× | accelerator-lowering-fma.f32 |
| 10 954× | accelerator-lowering-fma.f64 |
| 2 906× | *-lowering-*.f32 |
| 2 906× | *-lowering-*.f64 |
| 1 802× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 541 |
| 1 | 276 | 480 |
| 2 | 764 | 466 |
| 3 | 2114 | 454 |
| 4 | 6114 | 448 |
| 0 | 8084 | 437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
Compiled 614 to 112 computations (81.8% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 4 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 5 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.5% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 99.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))) |
| ▶ | 99.4% | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 54 to 44 computations (18.5% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (atan.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
| 2 760× | accelerator-lowering-fma.f32 |
| 2 760× | accelerator-lowering-fma.f64 |
| 760× | *-lowering-*.f32 |
| 760× | *-lowering-*.f64 |
| 448× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 156 |
| 1 | 50 | 156 |
| 2 | 104 | 150 |
| 3 | 196 | 150 |
| 4 | 473 | 150 |
| 5 | 1083 | 150 |
| 6 | 1851 | 150 |
| 7 | 2188 | 150 |
| 8 | 2269 | 150 |
| 9 | 2269 | 150 |
| 0 | 2269 | 134 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2)))))) |
2 |
(atan (+ 1 (* x (+ -1 (* x 1/2))))) |
(+ 1 (* x (+ -1 (* x 1/2)))) |
1 |
(* x (+ -1 (* x 1/2))) |
x |
(+ -1 (* x 1/2)) |
-1 |
(* x 1/2) |
1/2 |
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))) |
2 |
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))) |
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))) |
1 |
(* x (+ -1 (* (- 1 x) (* x 1/2)))) |
x |
(+ -1 (* (- 1 x) (* x 1/2))) |
-1 |
(* (- 1 x) (* x 1/2)) |
(- 1 x) |
(* x 1/2) |
1/2 |
(* 2 (atan (- 1 x))) |
2 |
(atan (- 1 x)) |
(- 1 x) |
1 |
x |
(* (atan 1) 2) |
(atan 1) |
1 |
2 |
| Outputs |
|---|
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
2 |
#s(literal 2 binary64) |
(atan (+ 1 (* x (+ -1 (* x 1/2))))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(+ 1 (* x (+ -1 (* x 1/2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(* x (+ -1 (* x 1/2))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
x |
(+ -1 (* x 1/2)) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
-1 |
#s(literal -1 binary64) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) |
2 |
#s(literal 2 binary64) |
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(* x (+ -1 (* (- 1 x) (* x 1/2)))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
x |
(+ -1 (* (- 1 x) (* x 1/2))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
-1 |
#s(literal -1 binary64) |
(* (- 1 x) (* x 1/2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
2 |
#s(literal 2 binary64) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (atan 1) 2) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
(atan 1) |
(atan.f64 #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
2 |
#s(literal 2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (atan.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))) |
| ✓ | accuracy | 100.0% | (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
| ✓ | accuracy | 100.0% | (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| 120.0ms | 256× | 0 | valid |
Compiled 158 to 24 computations (84.8% saved)
ival-mult: 93.0ms (87.1% of total)ival-atan: 7.0ms (6.6% of total)ival-add: 4.0ms (3.7% of total)ival-sub: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))> |
#<alt (atan (+ 1 (* x (+ -1 (* x 1/2)))))> |
#<alt (+ 1 (* x (+ -1 (* x 1/2))))> |
#<alt (* x (+ -1 (* x 1/2)))> |
#<alt (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))> |
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))> |
#<alt (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))> |
#<alt (* x (+ -1 (* (- 1 x) (* x 1/2))))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (atan (- 1 x))> |
#<alt (- 1 x)> |
#<alt (* (atan 1) 2)> |
#<alt (atan 1)> |
#<alt (* x 1/2)> |
#<alt (* (- 1 x) (* x 1/2))> |
| Outputs |
|---|
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))> |
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))> |
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))> |
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))> |
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))> |
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))> |
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))> |
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/2 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/2 x))) 1))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (+ 1 (* -1 x))))> |
#<alt (* 2 (atan (+ 1 (* -1 x))))> |
#<alt (* 2 (atan (+ 1 (* -1 x))))> |
#<alt (* 2 (atan (+ 1 (* -1 x))))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (+ 1 (* -1 x)))> |
#<alt (atan (+ 1 (* -1 x)))> |
#<alt (atan (+ 1 (* -1 x)))> |
#<alt (atan (+ 1 (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 x)))> |
#<alt (* x (+ 1/2 (* -1/2 x)))> |
#<alt (* x (+ 1/2 (* -1/2 x)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x (+ -1 (* (- 1 x) (* x 1/2)))) |
| 1.0ms | x | @ | -inf | (* 2 (atan (+ 1 (* x (+ -1 (* x 1/2)))))) |
| 0.0ms | x | @ | -inf | (* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))) |
| 0.0ms | x | @ | inf | (* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))) |
| 0.0ms | x | @ | inf | (* 2 (atan (+ 1 (* x (+ -1 (* x 1/2)))))) |
| 1× | batch-egg-rewrite |
| 11 260× | accelerator-lowering-fma.f32 |
| 11 260× | accelerator-lowering-fma.f64 |
| 5 630× | *-lowering-*.f32 |
| 5 630× | *-lowering-*.f64 |
| 3 280× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 121 |
| 1 | 105 | 121 |
| 2 | 886 | 115 |
| 0 | 8449 | 102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2)))))) |
(atan (+ 1 (* x (+ -1 (* x 1/2))))) |
(+ 1 (* x (+ -1 (* x 1/2)))) |
(* x (+ -1 (* x 1/2))) |
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))) |
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))) |
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))) |
(* x (+ -1 (* (- 1 x) (* x 1/2)))) |
(* 2 (atan (- 1 x))) |
(atan (- 1 x)) |
(- 1 x) |
(* (atan 1) 2) |
(atan 1) |
(* x 1/2) |
(* (- 1 x) (* x 1/2)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) |
(fma.f64 x #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) x) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 9 542× | accelerator-lowering-fma.f32 |
| 9 542× | accelerator-lowering-fma.f64 |
| 2 256× | *-lowering-*.f32 |
| 2 256× | *-lowering-*.f64 |
| 1 284× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1306 |
| 1 | 253 | 1290 |
| 2 | 707 | 1212 |
| 3 | 2221 | 1196 |
| 4 | 6054 | 1196 |
| 0 | 8250 | 1066 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))) |
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))) |
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))) |
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))) |
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))) |
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))) |
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)) |
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)) |
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)) |
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)) |
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))) |
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))) |
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))) |
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/2 x))) 1)) |
(* x (- (* x (+ 1/2 (* -1/2 x))) 1)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (+ 1 (* -1 x))) |
(atan (+ 1 (* -1 x))) |
(atan (+ 1 (* -1 x))) |
(atan (+ 1 (* -1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 x))) |
(* x (+ 1/2 (* -1/2 x))) |
(* x (+ 1/2 (* -1/2 x))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
| Outputs |
|---|
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(* -1/2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(* -1/2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))) |
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/2 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* x (- (* x (+ 1/2 (* -1/2 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -1/2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -1/2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (+ 1 (* -1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (+ 1 (* -1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (+ 1 (* -1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (+ 1 (* -1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1/2 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1/2 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
Compiled 16 829 to 2 499 computations (85.2% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 677 | 3 | 680 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 678 | 7 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
| ✓ | 97.5% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
| ▶ | 99.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.4% | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 108 to 71 computations (34.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
| 17 070× | accelerator-lowering-fma.f32 |
| 17 070× | accelerator-lowering-fma.f64 |
| 5 096× | *-lowering-*.f32 |
| 5 096× | *-lowering-*.f64 |
| 1 686× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 348 |
| 1 | 87 | 332 |
| 2 | 277 | 314 |
| 3 | 1325 | 306 |
| 4 | 5023 | 286 |
| 0 | 8160 | 265 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (/ (- 1 (* x x)) (+ 1 x)))) |
2 |
(atan (/ (- 1 (* x x)) (+ 1 x))) |
(/ (- 1 (* x x)) (+ 1 x)) |
(- 1 (* x x)) |
1 |
(* x x) |
x |
(+ 1 x) |
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
2 |
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))) |
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) |
(* (- 1 x) (- 1 x)) |
(- 1 x) |
1 |
x |
(* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x)) |
(* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) |
(* x (* 1/4 (* x (- 1 x)))) |
(* 1/4 (* x (- 1 x))) |
1/4 |
(* x (- 1 x)) |
(* x x) |
(- (- 1 x) (* 1/2 (* x (* x (- 1 x))))) |
(* 1/2 (* x (* x (- 1 x)))) |
1/2 |
(* x (* x (- 1 x))) |
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2) |
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) |
(* (+ (* x (* x 1/2)) 1) (- 1 x)) |
(+ (* x (* x 1/2)) 1) |
(* x (* x 1/2)) |
x |
(* x 1/2) |
1/2 |
1 |
(- 1 x) |
2 |
| Outputs |
|---|
(* 2 (atan (/ (- 1 (* x x)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
2 |
#s(literal 2 binary64) |
(atan (/ (- 1 (* x x)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(/ (- 1 (* x x)) (+ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(- 1 (* x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)))) |
2 |
#s(literal 2 binary64) |
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))) |
(atan.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))) |
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/4 binary64)))))) |
(* (- 1 x) (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(* x (* 1/4 (* x (- 1 x)))) |
(*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(* 1/4 (* x (- 1 x))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
1/4 |
#s(literal 1/4 binary64) |
(* x (- 1 x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* x x) |
(*.f64 x x) |
(- (- 1 x) (* 1/2 (* x (* x (- 1 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(* 1/2 (* x (* x (- 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x (- 1 x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) |
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(* (+ (* x (* x 1/2)) 1) (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (* x 1/2)) 1) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* x (* x 1/2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
x |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
2 |
#s(literal 2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
| 76.0ms | 256× | 0 | valid |
Compiled 350 to 33 computations (90.6% saved)
ival-atan: 29.0ms (48.2% of total)ival-mult: 20.0ms (33.2% of total)ival-sub: 4.0ms (6.6% of total)ival-div: 3.0ms (5% of total)ival-add: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 2 (atan (/ (- 1 (* x x)) (+ 1 x))))> |
#<alt (atan (/ (- 1 (* x x)) (+ 1 x)))> |
#<alt (/ (- 1 (* x x)) (+ 1 x))> |
#<alt (- 1 (* x x))> |
#<alt (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))> |
#<alt (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x)))> |
#<alt (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))> |
#<alt (* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))> |
#<alt (* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)> |
#<alt (atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))> |
#<alt (* (+ (* x (* x 1/2)) 1) (- 1 x))> |
#<alt (+ (* x (* x 1/2)) 1)> |
#<alt (* x x)> |
#<alt (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))> |
#<alt (* (- 1 x) (- 1 x))> |
#<alt (* x (- 1 x))> |
#<alt (* x 1/2)> |
#<alt (* x (* x 1/2))> |
| Outputs |
|---|
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))> |
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))> |
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))> |
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- x 2)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1/4 (pow x 2)))) 2)))> |
#<alt (* -1/4 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))> |
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) (+ 1/4 (/ 1/4 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (/ 1/4 (pow x 2)))))> |
#<alt (* -1/4 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))> |
#<alt (* (pow x 6) (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/2) x)) 1/4))> |
#<alt (* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x)) 1/2) x)) 1/4))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* -1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1)))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x))))> |
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))> |
#<alt (* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2)))> |
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))> |
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))> |
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))> |
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))> |
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))> |
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))> |
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))> |
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))> |
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))> |
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))> |
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))> |
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))> |
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))> |
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))> |
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))> |
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))> |
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))> |
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))> |
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))> |
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/4 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/4 (* -1/2 x)))> |
#<alt (* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))> |
#<alt (* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))> |
#<alt (* 1/4 (pow x 6))> |
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/4 (pow x 6))> |
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))> |
#<alt (* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- x 2)))> |
#<alt (+ 1 (* x (- x 2)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2) |
| 1.0ms | x | @ | inf | (* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2) |
| 1.0ms | x | @ | -inf | (* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
| 1.0ms | x | @ | inf | (* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
| 0.0ms | x | @ | 0 | (* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
| 1× | batch-egg-rewrite |
| 5 348× | *-lowering-*.f32 |
| 5 348× | *-lowering-*.f64 |
| 5 078× | /-lowering-/.f32 |
| 5 078× | /-lowering-/.f64 |
| 4 888× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 213 |
| 1 | 160 | 199 |
| 2 | 1499 | 197 |
| 0 | 8352 | 190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (/ (- 1 (* x x)) (+ 1 x)))) |
(atan (/ (- 1 (* x x)) (+ 1 x))) |
(/ (- 1 (* x x)) (+ 1 x)) |
(- 1 (* x x)) |
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) |
(- (- 1 x) (* 1/2 (* x (* x (- 1 x))))) |
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2) |
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) |
(* (+ (* x (* x 1/2)) 1) (- 1 x)) |
(+ (* x (* x 1/2)) 1) |
(* x x) |
(* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x)) |
(* (- 1 x) (- 1 x)) |
(* x (- 1 x)) |
(* x 1/2) |
(* x (* x 1/2)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))) |
(neg.f64 (atan.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 x (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 11 576× | accelerator-lowering-fma.f32 |
| 11 576× | accelerator-lowering-fma.f64 |
| 3 822× | *-lowering-*.f32 |
| 3 822× | *-lowering-*.f64 |
| 3 340× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 2066 |
| 1 | 585 | 2032 |
| 2 | 1555 | 1936 |
| 3 | 4652 | 1908 |
| 0 | 8572 | 1814 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- x 2))) |
(+ 1 (* x (- (* x (+ 1 (* -1/4 (pow x 2)))) 2))) |
(* -1/4 (pow x 6)) |
(* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4)) |
(* (pow x 6) (- (* 1/2 (/ 1 x)) (+ 1/4 (/ 1/4 (pow x 2))))) |
(* (pow x 6) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (/ 1/4 (pow x 2))))) |
(* -1/4 (pow x 6)) |
(* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4)) |
(* (pow x 6) (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/2) x)) 1/4)) |
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x)) 1/2) x)) 1/4)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* -1/2 x) 1))) |
(+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x)))) |
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))) |
(* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2))) |
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))) |
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))) |
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))) |
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))) |
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))) |
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))) |
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/4 (pow x 4)) |
(* (pow x 4) (+ 1/4 (* -1/2 x))) |
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2)))) |
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2)))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x)))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- x 2))) |
(+ 1 (* x (- x 2))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* -1 x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
| Outputs |
|---|
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (-.f64 #s(literal 0 binary64) x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
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(* -1 (pow x 2)) |
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(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(* 1/2 (pow x 3)) |
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
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(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
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(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
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(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
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(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
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(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
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(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
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(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
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(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
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(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
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(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
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(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
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(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))) |
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(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))) |
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(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))) |
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(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))) |
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(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))) |
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(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
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(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
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(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
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(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
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(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))) |
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(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))) |
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(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))) |
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(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))) |
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(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
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(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
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(* -1/2 (pow x 3)) |
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(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
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(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
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(* -1/2 (pow x 3)) |
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(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/4 (pow x 4)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/4 (* -1/2 x))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* 1/4 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x))) |
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x))) |
(* 1/4 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
(+ 1 (* x (- x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))) |
x |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* -1 (pow x 2)) |
(*.f64 x (-.f64 #s(literal 0 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* -1 (pow x 2)) |
(*.f64 x (-.f64 #s(literal 0 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
Compiled 61 714 to 5 613 computations (90.9% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 232 | 3 | 1 235 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 4 | 4 |
| Total | 1 234 | 8 | 1 242 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
| ✓ | 97.5% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
| ▶ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
| ▶ | 99.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.4% | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 129 to 88 computations (31.8% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| 12 828× | accelerator-lowering-fma.f32 |
| 12 828× | accelerator-lowering-fma.f64 |
| 4 190× | *-lowering-*.f32 |
| 4 190× | *-lowering-*.f64 |
| 2 550× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 392 |
| 1 | 88 | 376 |
| 2 | 287 | 340 |
| 3 | 1448 | 338 |
| 4 | 4106 | 310 |
| 0 | 8534 | 286 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (/ 1 (+ 1 x)))) |
2 |
(atan (/ 1 (+ 1 x))) |
(/ 1 (+ 1 x)) |
1 |
(+ 1 x) |
x |
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
2 |
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))) |
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(+ 1 (* x (+ x -2))) |
1 |
(* x (+ x -2)) |
x |
(+ x -2) |
-2 |
(- (- 1 x) (* 1/2 (* x (* x (- 1 x))))) |
(- 1 x) |
(* 1/2 (* x (* x (- 1 x)))) |
1/2 |
(* x (* x (- 1 x))) |
(* x (- 1 x)) |
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
2 |
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))) |
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) |
(* (- 1 x) (- 1 x)) |
(- 1 x) |
1 |
x |
(* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x)) |
(* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) |
(* x (* 1/4 (* x (- 0 x)))) |
(* 1/4 (* x (- 0 x))) |
1/4 |
(* x (- 0 x)) |
(- 0 x) |
0 |
(* x x) |
(- (- 1 x) (* 1/2 (* x (* x (- 1 x))))) |
(* 1/2 (* x (* x (- 1 x)))) |
1/2 |
(* x (* x (- 1 x))) |
(* x (- 1 x)) |
| Outputs |
|---|
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
2 |
#s(literal 2 binary64) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))) |
2 |
#s(literal 2 binary64) |
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) |
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) |
(+ 1 (* x (+ x -2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (+ x -2)) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
x |
(+ x -2) |
(+.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (- 1 x) (* 1/2 (* x (* x (- 1 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(* 1/2 (* x (* x (- 1 x)))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x (- 1 x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(* x (- 1 x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))) |
2 |
#s(literal 2 binary64) |
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))) |
(atan.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) |
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) |
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))))) |
(* (- 1 x) (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x)) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))))) |
(* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))) |
(* x (* 1/4 (* x (- 0 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64)) |
(* 1/4 (* x (- 0 x))) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(* x (- 0 x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
(* x x) |
(*.f64 x x) |
(- (- 1 x) (* 1/2 (* x (* x (- 1 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(* 1/2 (* x (* x (- 1 x)))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x (- 1 x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(* x (- 1 x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| 61.0ms | 256× | 0 | valid |
Compiled 404 to 36 computations (91.1% saved)
ival-mult: 19.0ms (44.8% of total)ival-atan: 9.0ms (21.2% of total)ival-div: 5.0ms (11.8% of total)ival-sub: 4.0ms (9.4% of total)ival-add: 4.0ms (9.4% of total)exact: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))> |
#<alt (* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))> |
#<alt (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))> |
#<alt (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))> |
#<alt (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))> |
#<alt (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x)))> |
#<alt (* 1/4 (* x (- 0 x)))> |
#<alt (* x (- 1 x))> |
#<alt (* x (+ x -2))> |
#<alt (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))> |
#<alt (* x (* 1/4 (* x (- 0 x))))> |
#<alt (* (- 1 x) (- 1 x))> |
| Outputs |
|---|
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (- 1 (* -1 x))))> |
#<alt (atan (/ 1 (- 1 (* -1 x))))> |
#<alt (atan (/ 1 (- 1 (* -1 x))))> |
#<alt (atan (/ 1 (- 1 (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* -1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1)))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x))))> |
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))> |
#<alt (* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2)))> |
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))> |
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))> |
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))> |
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))> |
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))> |
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))> |
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))> |
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))> |
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))> |
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))> |
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))> |
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))> |
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))> |
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))> |
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))> |
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))> |
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 2 (/ 1 x))) x)> |
#<alt (/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)> |
#<alt (/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 4) x)) 2) x)) 2) x))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 3)))) (pow x 2))) 1/2))> |
#<alt (* (pow x 3) (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 5))) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 2 (pow x 5))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (+ (* 4 (/ 1 (pow x 7))) (/ 2 (pow x 5)))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- x 2)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* 1/4 (pow x 3)))) 2)))> |
#<alt (* -1/4 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4))> |
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4))> |
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (* 2 (/ 1 (pow x 5))))))> |
#<alt (* -1/4 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4))> |
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4))> |
#<alt (* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 x))) (pow x 3))) 1/4) x)) 1/4))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* (pow x 2) (- (/ 1 x) 1))> |
#<alt (* -2 x)> |
#<alt (* x (- x 2))> |
#<alt (* x (- x 2))> |
#<alt (* x (- x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* -1/4 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/4 x) 1/4))> |
#<alt (* (pow x 5) (- (* 1/4 x) 1/4))> |
#<alt (* (pow x 5) (- (* 1/4 x) 1/4))> |
#<alt (* 1/4 (pow x 6))> |
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))> |
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))> |
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))> |
#<alt (* 1/4 (pow x 6))> |
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))> |
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))> |
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1/4 (pow x 3))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- x 2)))> |
#<alt (+ 1 (* x (- x 2)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
| 0.0ms | x | @ | inf | (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
| 0.0ms | x | @ | inf | (* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
| 0.0ms | x | @ | -inf | (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
| 0.0ms | x | @ | 0 | (* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
| 1× | batch-egg-rewrite |
| 5 062× | /-lowering-/.f32 |
| 5 062× | /-lowering-/.f64 |
| 4 714× | accelerator-lowering-fma.f32 |
| 4 714× | accelerator-lowering-fma.f64 |
| 4 628× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 205 |
| 1 | 177 | 195 |
| 2 | 1501 | 195 |
| 0 | 8363 | 187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (/ 1 (+ 1 x)))) |
(atan (/ 1 (+ 1 x))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
(- (- 1 x) (* 1/2 (* x (* x (- 1 x))))) |
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))) |
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))) |
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))) |
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) |
(* 1/4 (* x (- 0 x))) |
(* x (- 1 x)) |
(* x (+ x -2)) |
(* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x)) |
(* x (* 1/4 (* x (- 0 x)))) |
(* (- 1 x) (- 1 x)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
| 1× | egg-herbie |
| 10 810× | accelerator-lowering-fma.f32 |
| 10 810× | accelerator-lowering-fma.f64 |
| 5 244× | *-lowering-*.f32 |
| 5 244× | *-lowering-*.f64 |
| 2 158× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 1749 |
| 1 | 663 | 1733 |
| 2 | 1805 | 1641 |
| 3 | 7487 | 1639 |
| 0 | 8396 | 1558 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan (/ 1 (- 1 (* -1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* -1/2 x) 1))) |
(+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x)))) |
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))) |
(* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2))) |
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))) |
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))) |
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))) |
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(/ 2 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) x) |
(/ 2 x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 4) x)) 2) x)) 2) x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 3)))) (pow x 2))) 1/2)) |
(* (pow x 3) (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 5))) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 2 (pow x 5)))))) |
(* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (+ (* 4 (/ 1 (pow x 7))) (/ 2 (pow x 5))))))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- x 2))) |
(+ 1 (* x (- (* x (+ 1 (* 1/4 (pow x 3)))) 2))) |
(* -1/4 (pow x 6)) |
(* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4)) |
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4)) |
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (* 2 (/ 1 (pow x 5)))))) |
(* -1/4 (pow x 6)) |
(* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4)) |
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4)) |
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 x))) (pow x 3))) 1/4) x)) 1/4)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* -1 x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* -2 x) |
(* x (- x 2)) |
(* x (- x 2)) |
(* x (- x 2)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* -1/4 (pow x 5)) |
(* (pow x 5) (- (* 1/4 x) 1/4)) |
(* (pow x 5) (- (* 1/4 x) 1/4)) |
(* (pow x 5) (- (* 1/4 x) 1/4)) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
(* -1/4 (pow x 3)) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- x 2))) |
(+ 1 (* x (- x 2))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
| Outputs |
|---|
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* -1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(* 1/2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/2 binary64)) x)))) |
(* 1/2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/2 binary64)) x)))) |
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))) |
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x) |
(/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) |
(/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x)))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 4) x)) 2) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) |
(* -1/2 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) |
(* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))) |
(-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) x) |
(* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 3)))) (pow x 2))) 1/2)) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))))) |
(* (pow x 3) (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 5))) (+ 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1/2 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) |
(* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))) |
(-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) x) |
(* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 2 (pow x 5)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (+ (* 4 (/ 1 (pow x 7))) (/ 2 (pow x 5))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
(+ 1 (* x (- (* x (+ 1 (* 1/4 (pow x 3)))) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) |
(* -1/4 (pow x 6)) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))) |
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (* 2 (/ 1 (pow x 5)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* -1/4 (pow x 6)) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))) |
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 x))) (pow x 3))) 1/4) x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) x)) x))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
x |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- x 2)) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* x (- x 2)) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* x (- x 2)) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* -1/4 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/4 binary64)) |
(* (pow x 5) (- (* 1/4 x) 1/4)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 5) (- (* 1/4 x) 1/4)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 5) (- (* 1/4 x) 1/4)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* 1/4 (pow x 6)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x))) |
(* 1/4 (pow x 6)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x))) |
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
(+ 1 (* x (- x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) |
Compiled 55 786 to 4 690 computations (91.6% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 048 | 4 | 1 052 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 5 | 5 |
| Total | 1 050 | 10 | 1 060 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
| ✓ | 97.5% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) | |
| 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) | |
| 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))))) | |
| ✓ | 99.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) | |
| ✓ | 99.4% | (*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 441 to 213 computations (51.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
5 calls:
| 5.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 4.0ms | x |
| 4.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 4.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 100.0% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))) |
| Outputs |
|---|
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 348× | distribute-lft-neg-in_binary64 |
| 198× | neg-mul-1_binary64 |
| 172× | neg-sub0_binary64 |
| 144× | distribute-neg-in_binary64 |
| 140× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 118 |
| 1 | 104 | 118 |
| 2 | 135 | 118 |
| 3 | 170 | 117 |
| 4 | 227 | 117 |
| 5 | 327 | 117 |
| 6 | 472 | 117 |
| 7 | 586 | 117 |
| 8 | 694 | 117 |
| 9 | 787 | 117 |
| 10 | 871 | 117 |
| 11 | 957 | 117 |
| 12 | 1031 | 117 |
| 13 | 1062 | 117 |
| 14 | 1073 | 117 |
| 15 | 1082 | 117 |
| 16 | 1085 | 117 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64))))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) |
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
| 11 576× | accelerator-lowering-fma.f32 |
| 11 576× | accelerator-lowering-fma.f64 |
| 11 260× | accelerator-lowering-fma.f32 |
| 11 260× | accelerator-lowering-fma.f64 |
| 10 954× | accelerator-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 121 |
| 1 | 105 | 121 |
| 2 | 886 | 115 |
| 0 | 8449 | 102 |
| 0 | 235 | 1749 |
| 1 | 663 | 1733 |
| 2 | 1805 | 1641 |
| 3 | 7487 | 1639 |
| 0 | 8396 | 1558 |
| 0 | 107 | 541 |
| 1 | 276 | 480 |
| 2 | 764 | 466 |
| 3 | 2114 | 454 |
| 4 | 6114 | 448 |
| 0 | 8084 | 437 |
| 0 | 9 | 36 |
| 1 | 46 | 36 |
| 2 | 333 | 36 |
| 3 | 4591 | 8 |
| 0 | 9829 | 8 |
| 0 | 202 | 2066 |
| 1 | 585 | 2032 |
| 2 | 1555 | 1936 |
| 3 | 4652 | 1908 |
| 0 | 8572 | 1814 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 304 to 187 computations (38.5% saved)
Compiled 260 to 130 computations (50% saved)
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