
Time bar (total: 13.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 13 to 11 computations (15.4% saved)
| 2.7s | 5 629× | 2 | valid |
| 382.0ms | 2 413× | 1 | valid |
| 15.0ms | 214× | 0 | valid |
ival-exp: 2.0s (72.4% of total)adjust: 312.0ms (11.2% of total)ival-add: 143.0ms (5.1% of total)ival-sub: 130.0ms (4.7% of total)ival-neg: 80.0ms (2.9% of total)ival-fabs: 53.0ms (1.9% of total)ival-<=: 27.0ms (1% of total)exact: 18.0ms (0.6% of total)ival-assert: 3.0ms (0.1% of total)| 1× | egg-herbie |
| 244× | accelerator-lowering-fma.f32 |
| 244× | accelerator-lowering-fma.f64 |
| 104× | +-lowering-+.f64 |
| 104× | +-lowering-+.f32 |
| 102× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 31 | 17 |
| 2 | 81 | 16 |
| 3 | 183 | 16 |
| 4 | 308 | 16 |
| 5 | 389 | 16 |
| 6 | 416 | 16 |
| 0 | 7 | 8 |
| 1 | 19 | 8 |
| 2 | 35 | 8 |
| 3 | 58 | 8 |
| 4 | 97 | 8 |
| 5 | 164 | 8 |
| 6 | 269 | 8 |
| 7 | 329 | 8 |
| 8 | 382 | 8 |
| 9 | 384 | 8 |
| 0 | 384 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
| Outputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 125 | 2 | (1.8577637544254003e-162) | 0 | - | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (179.79849467556951) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) | cancellation | 127 | 0 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 0 |
| - | 3 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 0 |
| - | 3 | 1 | 127 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 144.0ms | 360× | 2 | valid |
| 26.0ms | 138× | 1 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 64 to 32 computations (50% saved)
ival-exp: 101.0ms (69.7% of total)adjust: 17.0ms (11.7% of total)ival-sub: 11.0ms (7.6% of total)ival-add: 10.0ms (6.9% of total)ival-neg: 5.0ms (3.4% of total)exact: 1.0ms (0.7% of total)ival-true: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.7% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 244× | accelerator-lowering-fma.f32 |
| 244× | accelerator-lowering-fma.f64 |
| 104× | +-lowering-+.f64 |
| 104× | +-lowering-+.f32 |
| 102× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 19 | 21 |
| 2 | 35 | 21 |
| 3 | 58 | 21 |
| 4 | 97 | 21 |
| 5 | 164 | 21 |
| 6 | 269 | 21 |
| 7 | 329 | 21 |
| 8 | 382 | 21 |
| 9 | 384 | 21 |
| 0 | 384 | 21 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
(- (exp x) 2) |
(exp x) |
x |
2 |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp x) |
(exp.f64 x) |
x |
2 |
#s(literal 2 binary64) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(neg x) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 55.7% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 72.0ms | 180× | 2 | valid |
| 10.0ms | 69× | 1 | valid |
| 0.0ms | 7× | 0 | valid |
Compiled 23 to 9 computations (60.9% saved)
ival-exp: 48.0ms (68.3% of total)ival-sub: 9.0ms (12.8% of total)adjust: 7.0ms (10% of total)ival-add: 3.0ms (4.3% of total)ival-neg: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (- (exp x) 2) (exp (neg x)))> |
#<alt (- (exp x) 2)> |
#<alt (exp x)> |
#<alt (exp (neg x))> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* 1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (- (exp x) 2) (exp (neg x))) |
| 0.0ms | x | @ | inf | (+ (- (exp x) 2) (exp (neg x))) |
| 0.0ms | x | @ | -inf | (+ (- (exp x) 2) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (- (exp x) 2) |
| 0.0ms | x | @ | 0 | (exp (neg x)) |
| 1× | batch-egg-rewrite |
| 3 586× | *-lowering-*.f32 |
| 3 586× | *-lowering-*.f64 |
| 3 204× | /-lowering-/.f32 |
| 3 204× | /-lowering-/.f64 |
| 2 998× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 46 | 17 |
| 2 | 389 | 17 |
| 3 | 6856 | 15 |
| 0 | 8036 | 14 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
(- (exp x) 2) |
(exp x) |
(exp (neg x)) |
| Outputs |
|---|
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x)) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (exp.f64 (+.f64 x x))))) |
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x))) |
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x))) |
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) |
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (exp.f64 (neg.f64 x))) |
(fma.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(fma.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x)))) (exp.f64 (neg.f64 x))) |
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(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64)))) |
(exp.f64 x) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
| 1× | egg-herbie |
| 17 068× | accelerator-lowering-fma.f32 |
| 17 068× | accelerator-lowering-fma.f64 |
| 3 466× | +-lowering-+.f64 |
| 3 466× | +-lowering-+.f32 |
| 3 160× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 269 |
| 1 | 168 | 268 |
| 2 | 397 | 262 |
| 3 | 1053 | 262 |
| 4 | 1755 | 262 |
| 5 | 3019 | 262 |
| 6 | 3833 | 262 |
| 7 | 5252 | 262 |
| 8 | 6659 | 262 |
| 0 | 8202 | 241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
Compiled 6 847 to 792 computations (88.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 287 | 6 | 293 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 288 | 6 | 294 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.7% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| 55.7% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x))) | |
| ▶ | 98.7% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ▶ | 98.7% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
| ▶ | 98.5% | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
| ▶ | 98.1% | (*.f64 x x) |
Compiled 142 to 84 computations (40.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 10 244× | accelerator-lowering-fma.f32 |
| 10 244× | accelerator-lowering-fma.f64 |
| 3 772× | *-lowering-*.f32 |
| 3 772× | *-lowering-*.f64 |
| 1 790× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 170 |
| 1 | 92 | 170 |
| 2 | 235 | 170 |
| 3 | 491 | 170 |
| 4 | 908 | 170 |
| 5 | 1541 | 170 |
| 6 | 1926 | 170 |
| 7 | 2436 | 170 |
| 8 | 3636 | 170 |
| 9 | 4541 | 170 |
| 10 | 5184 | 170 |
| 11 | 6418 | 170 |
| 12 | 7618 | 170 |
| 0 | 8026 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) |
x |
(+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x) |
(+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) |
(* x (+ (* (* x x) 1/20160) 1/360)) |
(+ (* (* x x) 1/20160) 1/360) |
(* x x) |
1/20160 |
1/360 |
1/12 |
(* x (* x x)) |
(* x x) |
x |
(* x (+ (* x (* (* x x) 1/12)) x)) |
x |
(+ (* x (* (* x x) 1/12)) x) |
(* (* x x) 1/12) |
(* x x) |
1/12 |
(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) |
x |
(+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) |
(* x x) |
(* x (+ (* (* x x) 1/360) 1/12)) |
(+ (* (* x x) 1/360) 1/12) |
1/360 |
1/12 |
(+ (* 2 (cosh x)) -2) |
2 |
(cosh x) |
x |
-2 |
| Outputs |
|---|
(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x)) |
x |
(+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x) |
(+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* x (+ (* (* x x) 1/20160) 1/360)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(+ (* (* x x) 1/20160) 1/360) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(* x x) |
(*.f64 x x) |
1/20160 |
#s(literal 1/20160 binary64) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ (* x (* (* x x) 1/12)) x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) |
x |
(+ (* x (* (* x x) 1/12)) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (* x x) 1/12) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* x x) |
(*.f64 x x) |
1/12 |
#s(literal 1/12 binary64) |
(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))) |
x |
(+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
(* x x) |
(*.f64 x x) |
(* x (+ (* (* x x) 1/360) 1/12)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(+ (* (* x x) 1/360) 1/12) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
(+ (* 2 (cosh x)) -2) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
2 |
#s(literal 2 binary64) |
(cosh x) |
(cosh.f64 x) |
x |
-2 |
#s(literal -2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 55.7% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
| 166.0ms | 180× | 2 | valid |
| 47.0ms | 70× | 1 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 167 to 31 computations (81.4% saved)
adjust: 46.0ms (27.1% of total)ival-mult: 44.0ms (25.9% of total)ival-cosh: 32.0ms (18.8% of total)const: 25.0ms (14.7% of total)ival-add: 23.0ms (13.5% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))> |
#<alt (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)> |
#<alt (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)> |
#<alt (* x (+ (* (* x x) 1/20160) 1/360))> |
#<alt (* x x)> |
#<alt (* x (+ (* x (* (* x x) 1/12)) x))> |
#<alt (+ (* x (* (* x x) 1/12)) x)> |
#<alt (* (* x x) 1/12)> |
#<alt (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x))> |
#<alt (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)> |
#<alt (* x (+ (* (* x x) 1/360) 1/12))> |
#<alt (+ (* 2 (cosh x)) -2)> |
#<alt (cosh x)> |
#<alt (* x (* x x))> |
#<alt (+ (* (* x x) 1/360) 1/12)> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/360 x)> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 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 (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* 2 (cosh x)) -2) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) 1/360) 1/12)) |
| 1.0ms | x | @ | -inf | (+ (* 2 (cosh x)) -2) |
| 1.0ms | x | @ | inf | (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) |
| 0.0ms | x | @ | -inf | (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) |
| 1× | batch-egg-rewrite |
| 4 936× | accelerator-lowering-fma.f32 |
| 4 936× | accelerator-lowering-fma.f64 |
| 4 672× | *-lowering-*.f32 |
| 4 672× | *-lowering-*.f64 |
| 4 516× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 141 |
| 1 | 172 | 141 |
| 2 | 1353 | 141 |
| 0 | 8202 | 123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) |
(+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x) |
(+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) |
(* x (+ (* (* x x) 1/20160) 1/360)) |
(* x x) |
(* x (+ (* x (* (* x x) 1/12)) x)) |
(+ (* x (* (* x x) 1/12)) x) |
(* (* x x) 1/12) |
(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) |
(+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) |
(* x (+ (* (* x x) 1/360) 1/12)) |
(+ (* 2 (cosh x)) -2) |
(cosh x) |
(* x (* x x)) |
(+ (* (* x x) 1/360) 1/12) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)))) |
(fma.f64 x x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x (*.f64 x x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
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(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(cosh.f64 x) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) |
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) |
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) #s(literal 1/5159780352 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) (-.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/80621568000 binary64)))) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) #s(literal -1/2985984 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal -1/1728 binary64)) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) #s(literal -1/2985984 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/144 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/20736 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) (*.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) |
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
| 1× | egg-herbie |
| 14 328× | accelerator-lowering-fma.f32 |
| 14 328× | accelerator-lowering-fma.f64 |
| 4 280× | *-lowering-*.f32 |
| 4 280× | *-lowering-*.f64 |
| 2 102× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1550 |
| 1 | 408 | 1480 |
| 2 | 1087 | 1477 |
| 3 | 3104 | 1476 |
| 4 | 6010 | 1476 |
| 0 | 8352 | 1368 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/360 x) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 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) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal -1/360 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 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) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* 1/12 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* 1/12 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(* 1/360 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/360 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
(* 1/360 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(* 1/360 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
Compiled 27 181 to 1 971 computations (92.7% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 746 | 14 | 760 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 746 | 20 | 766 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x)) | |
| ▶ | 98.5% | (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
| ▶ | 98.7% | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 54.3% | (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) | |
| ▶ | 54.0% | (fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
| ✓ | 55.7% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| 55.7% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x))) | |
| 98.7% | (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 98.7% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 98.1% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| ▶ | 98.1% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x x)) x)) |
| ✓ | 98.7% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
| ✓ | 98.5% | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
| 98.7% | (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) | |
| 98.7% | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) | |
| 98.5% | (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)) | |
| ▶ | 54.1% | (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
| 53.9% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 54.1% | (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) | |
| ✓ | 98.1% | (*.f64 x x) |
Compiled 560 to 308 computations (45% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x x)) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 768 | (fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 38 068× | accelerator-lowering-fma.f32 |
| 38 068× | accelerator-lowering-fma.f64 |
| 9 860× | +-lowering-+.f64 |
| 9 860× | +-lowering-+.f32 |
| 4 370× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 224 |
| 1 | 124 | 216 |
| 2 | 326 | 208 |
| 3 | 635 | 202 |
| 4 | 2729 | 200 |
| 5 | 4263 | 200 |
| 6 | 4438 | 200 |
| 7 | 4494 | 200 |
| 8 | 4502 | 200 |
| 9 | 4502 | 200 |
| 10 | 4756 | 200 |
| 11 | 4762 | 200 |
| 12 | 4762 | 200 |
| 0 | 9183 | 183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) (* x (* x x))) (* x x)) |
(* x (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) |
x |
(+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) |
(* x x) |
(+ (* x (* x 1/20160)) 1/360) |
(* x 1/20160) |
1/20160 |
1/360 |
1/12 |
(* x (* x x)) |
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2) |
2 |
(+ (* x (* x 1/2)) 1) |
x |
(* x 1/2) |
1/2 |
1 |
-2 |
(+ (* (* (* x x) 1/12) (* x x)) (* x x)) |
(* (* x x) 1/12) |
(* x x) |
x |
1/12 |
(* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) |
x |
(* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) |
(* x (* x (+ (* x (* x 1/360)) 1/12))) |
(* x (+ (* x (* x 1/360)) 1/12)) |
(+ (* x (* x 1/360)) 1/12) |
(* x 1/360) |
1/360 |
1/12 |
(* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)) |
x |
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x) |
(* x (* x (* (* x x) 1/20160))) |
(* x (* (* x x) 1/20160)) |
(* (* x x) 1/20160) |
(* x x) |
1/20160 |
(* x (* x x)) |
| Outputs |
|---|
(+ (* (* x (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) (* x (* x x))) (* x x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) |
(* x (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
x |
(+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* x x) |
(*.f64 x x) |
(+ (* x (* x 1/20160)) 1/360) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(* x 1/20160) |
(*.f64 x #s(literal 1/20160 binary64)) |
1/20160 |
#s(literal 1/20160 binary64) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2) |
(*.f64 x x) |
2 |
#s(literal 2 binary64) |
(+ (* x (* x 1/2)) 1) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
-2 |
#s(literal -2 binary64) |
(+ (* (* (* x x) 1/12) (* x x)) (* x x)) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(* (* x x) 1/12) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* x x) |
(*.f64 x x) |
x |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
x |
(* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(* x (* x (+ (* x (* x 1/360)) 1/12))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(* x (+ (* x (* x 1/360)) 1/12)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(+ (* x (* x 1/360)) 1/12) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* x 1/360) |
(*.f64 x #s(literal 1/360 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
(* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) x)) |
x |
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) x) |
(* x (* x (* (* x x) 1/20160))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(* x (* (* x x) 1/20160)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
(* (* x x) 1/20160) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(* x x) |
(*.f64 x x) |
1/20160 |
#s(literal 1/20160 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/360 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 55.7% | (fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/20160 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
| 112.0ms | 165× | 2 | valid |
| 75.0ms | 70× | 1 | valid |
| 11.0ms | 15× | 3 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 235 to 41 computations (82.6% saved)
ival-mult: 95.0ms (59.8% of total)adjust: 25.0ms (15.7% of total)ival-add: 21.0ms (13.2% of total)const: 17.0ms (10.7% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) (* x (* x x))) (* x x))> |
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))> |
#<alt (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)> |
#<alt (* x x)> |
#<alt (+ (* 2 (+ (* x (* x 1/2)) 1)) -2)> |
#<alt (+ (* x (* x 1/2)) 1)> |
#<alt (* x 1/2)> |
#<alt (+ (* (* (* x x) 1/12) (* x x)) (* x x))> |
#<alt (* (* x x) 1/12)> |
#<alt (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12)))))> |
#<alt (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))> |
#<alt (* x (* x (+ (* x (* x 1/360)) 1/12)))> |
#<alt (* x (+ (* x (* x 1/360)) 1/12))> |
#<alt (* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x))> |
#<alt (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)> |
#<alt (* x (* x (* (* x x) 1/20160)))> |
#<alt (* x (* (* x x) 1/20160))> |
#<alt (* x (* x x))> |
#<alt (* x 1/20160)> |
#<alt (* x 1/360)> |
#<alt (* (* x x) 1/20160)> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 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 (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> |
#<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 (* 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 (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))> |
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))> |
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)) |
| 1.0ms | x | @ | 0 | (* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)) |
| 0.0ms | x | @ | 0 | (+ (* 2 (+ (* x (* x 1/2)) 1)) -2) |
| 0.0ms | x | @ | inf | (+ (* 2 (+ (* x (* x 1/2)) 1)) -2) |
| 1× | batch-egg-rewrite |
| 5 402× | accelerator-lowering-fma.f32 |
| 5 402× | accelerator-lowering-fma.f64 |
| 5 266× | *-lowering-*.f32 |
| 5 266× | *-lowering-*.f64 |
| 4 192× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 193 |
| 1 | 220 | 173 |
| 2 | 1648 | 173 |
| 0 | 8152 | 157 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) (* x (* x x))) (* x x)) |
(* x (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) |
(+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) |
(* x x) |
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2) |
(+ (* x (* x 1/2)) 1) |
(* x 1/2) |
(+ (* (* (* x x) 1/12) (* x x)) (* x x)) |
(* (* x x) 1/12) |
(* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) |
(* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) |
(* x (* x (+ (* x (* x 1/360)) 1/12))) |
(* x (+ (* x (* x 1/360)) 1/12)) |
(* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)) |
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x) |
(* x (* x (* (* x x) 1/20160))) |
(* x (* (* x x) 1/20160)) |
(* x (* x x)) |
(* x 1/20160) |
(* x 1/360) |
(* (* x x) 1/20160) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 x x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) (*.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x))) (*.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) (*.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x)))) (neg.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
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(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x #s(literal 1/20160 binary64)) |
(*.f64 #s(literal 1/20160 binary64) x) |
(*.f64 x #s(literal 1/360 binary64)) |
(*.f64 #s(literal 1/360 binary64) x) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) x) |
| 1× | egg-herbie |
| 16 080× | accelerator-lowering-fma.f32 |
| 16 080× | accelerator-lowering-fma.f64 |
| 3 522× | *-lowering-*.f32 |
| 3 522× | *-lowering-*.f64 |
| 2 702× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1700 |
| 1 | 322 | 1700 |
| 2 | 767 | 1652 |
| 3 | 1909 | 1652 |
| 4 | 4217 | 1652 |
| 5 | 7006 | 1652 |
| 0 | 8006 | 1548 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 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) |
(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 |
(+ 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)))) |
(* 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) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6)))) |
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6)))) |
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6)))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6)))) |
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6)))) |
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6)))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6)))) |
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6)))) |
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6)))) |
x |
(* x (+ 1 (* 1/20160 (pow x 6)))) |
(* x (+ 1 (* 1/20160 (pow x 6)))) |
(* x (+ 1 (* 1/20160 (pow x 6)))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6)))) |
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6)))) |
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6)))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6)))) |
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6)))) |
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6)))) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* 1/20160 (pow x 8)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) x))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) x))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) |
(* 1/20160 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) |
(* 1/20160 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
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(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
Compiled 29 440 to 1 876 computations (93.6% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 893 | 7 | 900 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 897 | 23 | 920 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x)) | |
| ✓ | 98.5% | (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
| ✓ | 98.7% | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ▶ | 54.3% | (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
| ✓ | 55.7% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| ▶ | 54.0% | (+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
| 55.7% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x))) | |
| 98.7% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) | |
| 98.5% | (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) | |
| ▶ | 54.1% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
| 54.1% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) | |
| 98.7% | (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 98.7% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 98.1% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 98.1% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x x)) x)) |
| ✓ | 98.7% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
| ✓ | 98.5% | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
| 98.7% | (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) | |
| ▶ | 98.7% | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
| ▶ | 53.7% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
| 54.1% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 53.9% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| ✓ | 98.1% | (*.f64 x x) |
Compiled 611 to 333 computations (45.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 256 | (+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
| 26 374× | accelerator-lowering-fma.f32 |
| 26 374× | accelerator-lowering-fma.f64 |
| 14 124× | +-lowering-+.f64 |
| 14 124× | +-lowering-+.f32 |
| 10 462× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 269 |
| 1 | 139 | 253 |
| 2 | 504 | 245 |
| 3 | 2211 | 237 |
| 4 | 2446 | 235 |
| 5 | 2539 | 235 |
| 6 | 2569 | 235 |
| 7 | 2570 | 235 |
| 8 | 2570 | 235 |
| 9 | 4734 | 235 |
| 10 | 4903 | 235 |
| 11 | 5049 | 235 |
| 12 | 5053 | 235 |
| 13 | 5053 | 235 |
| 14 | 5053 | 235 |
| 15 | 5095 | 235 |
| 16 | 5095 | 235 |
| 17 | 5095 | 235 |
| 18 | 5502 | 235 |
| 19 | 5502 | 235 |
| 0 | 13250 | 213 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) x)) |
x |
(+ (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) x) |
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) |
(* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) |
(* x x) |
(+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) |
(+ (* x (* x 1/20160)) 1/360) |
(* x 1/20160) |
1/20160 |
1/360 |
1/12 |
(+ (+ (* (* x x) 1) 2) -2) |
(+ (* (* x x) 1) 2) |
(* x x) |
x |
1 |
2 |
-2 |
(+ (* 2 (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) -2) |
2 |
(+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) |
(* x x) |
x |
(+ (* x (* x 1/24)) 1/2) |
(* x 1/24) |
1/24 |
1/2 |
1 |
-2 |
(* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) |
(* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) |
(* x x) |
x |
(* x (+ (* (* x x) 1/360) 1/12)) |
(+ (* (* x x) 1/360) 1/12) |
1/360 |
1/12 |
(* x (* x (* (* x x) (* 1/20160 (* x (* x (* x x))))))) |
x |
(* x (* (* x x) (* 1/20160 (* x (* x (* x x)))))) |
(* (* x x) (* 1/20160 (* x (* x (* x x))))) |
(* x x) |
(* 1/20160 (* x (* x (* x x)))) |
1/20160 |
(* x (* x (* x x))) |
(* x (* x x)) |
| Outputs |
|---|
(* x (+ (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) |
x |
(+ (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ (* x (* x 1/20160)) 1/360) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(* x 1/20160) |
(*.f64 x #s(literal 1/20160 binary64)) |
1/20160 |
#s(literal 1/20160 binary64) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
(+ (+ (* (* x x) 1) 2) -2) |
(*.f64 x x) |
(+ (* (* x x) 1) 2) |
(fma.f64 x x #s(literal 2 binary64)) |
(* x x) |
(*.f64 x x) |
x |
1 |
#s(literal 1 binary64) |
2 |
#s(literal 2 binary64) |
-2 |
#s(literal -2 binary64) |
(+ (* 2 (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) -2) |
(*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
2 |
#s(literal 2 binary64) |
(+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(+ (* x (* x 1/24)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
-2 |
#s(literal -2 binary64) |
(* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ (* (* x x) 1/360) 1/12)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(+ (* (* x x) 1/360) 1/12) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x (* (* x x) (* 1/20160 (* x (* x (* x x))))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
x |
(* x (* (* x x) (* 1/20160 (* x (* x (* x x)))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(* (* x x) (* 1/20160 (* x (* x (* x x))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* x x) |
(*.f64 x x) |
(* 1/20160 (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
1/20160 |
#s(literal 1/20160 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 55.7% | (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 55.7% | (+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/20160 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
| 164.0ms | 172× | 2 | valid |
| 38.0ms | 70× | 1 | valid |
| 8.0ms | 8× | 3 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 282 to 42 computations (85.1% saved)
ival-mult: 96.0ms (56.3% of total)ival-add: 31.0ms (18.2% of total)adjust: 25.0ms (14.7% of total)const: 18.0ms (10.5% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) x)> |
#<alt (* x (+ (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) x))> |
#<alt (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)))> |
#<alt (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))> |
#<alt (+ (* (* x x) 1) 2)> |
#<alt (+ (+ (* (* x x) 1) 2) -2)> |
#<alt (* x x)> |
#<alt (+ (* 2 (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) -2)> |
#<alt (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)> |
#<alt (+ (* x (* x 1/24)) 1/2)> |
#<alt (* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)> |
#<alt (* (* x x) (* x (+ (* (* x x) 1/360) 1/12)))> |
#<alt (* x (+ (* (* x x) 1/360) 1/12))> |
#<alt (* x (* x (* (* x x) (* 1/20160 (* x (* x (* x x)))))))> |
#<alt (* x (* (* x x) (* 1/20160 (* x (* x (* x x))))))> |
#<alt (* (* x x) (* 1/20160 (* x (* x (* x x)))))> |
#<alt (* x 1/20160)> |
#<alt (* x 1/24)> |
#<alt (+ (* (* x x) 1/360) 1/12)> |
#<alt (* x (* x x))> |
#<alt (* 1/20160 (* x (* x (* x x))))> |
#<alt (* x (* x (* x x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (pow x 2))> |
#<alt (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) (+ 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 (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 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/20160 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | inf | (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) |
| 2.0ms | x | @ | -inf | (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) |
| 0.0ms | x | @ | 0 | (+ (* 2 (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) -2) |
| 0.0ms | x | @ | 0 | (* x (* x (* (* x x) (* 1/20160 (* x (* x (* x x))))))) |
| 0.0ms | x | @ | 0 | (* (* x x) (* 1/20160 (* x (* x (* x x))))) |
| 1× | batch-egg-rewrite |
| 5 808× | accelerator-lowering-fma.f32 |
| 5 808× | accelerator-lowering-fma.f64 |
| 4 324× | *-lowering-*.f32 |
| 4 324× | *-lowering-*.f64 |
| 3 762× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 222 |
| 1 | 254 | 196 |
| 2 | 1967 | 192 |
| 0 | 8098 | 172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) x) |
(* x (+ (* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) x)) |
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12))) |
(* (* x x) (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)) |
(+ (* (* x x) 1) 2) |
(+ (+ (* (* x x) 1) 2) -2) |
(* x x) |
(+ (* 2 (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) -2) |
(+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) |
(+ (* x (* x 1/24)) 1/2) |
(* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) |
(* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) |
(* x (+ (* (* x x) 1/360) 1/12)) |
(* x (* x (* (* x x) (* 1/20160 (* x (* x (* x x))))))) |
(* x (* (* x x) (* 1/20160 (* x (* x (* x x)))))) |
(* (* x x) (* 1/20160 (* x (* x (* x x))))) |
(* x 1/20160) |
(* x 1/24) |
(+ (* (* x x) 1/360) 1/12) |
(* x (* x x)) |
(* 1/20160 (* x (* x (* x x)))) |
(* x (* x (* x x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
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(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 9 232× | accelerator-lowering-fma.f32 |
| 9 232× | accelerator-lowering-fma.f64 |
| 3 672× | *-lowering-*.f32 |
| 3 672× | *-lowering-*.f64 |
| 2 048× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 1840 |
| 1 | 380 | 1810 |
| 2 | 982 | 1805 |
| 3 | 2741 | 1802 |
| 4 | 6458 | 1802 |
| 0 | 8319 | 1692 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (pow x 2)) |
(+ 2 (pow x 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) (+ 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) |
(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) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/20160 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(* 1/20160 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
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(*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/20160 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/20160 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/20160 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/20160 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/20160 x) |
(*.f64 x #s(literal 1/20160 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
Compiled 47 032 to 4 257 computations (90.9% saved)
26 alts after pruning (15 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 532 | 8 | 1 540 |
| Fresh | 3 | 7 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 537 | 26 | 1 563 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x)) | |
| ✓ | 98.5% | (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
| ✓ | 98.7% | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ✓ | 54.3% | (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
| ✓ | 55.7% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| 54.0% | (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) | |
| 55.7% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x))) | |
| 53.4% | (+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) | |
| 98.7% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) | |
| 98.5% | (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) | |
| ✓ | 54.1% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
| 53.9% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x) | |
| 54.1% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))) x) | |
| 53.9% | (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x) | |
| 54.1% | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x))) | |
| 98.7% | (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 98.7% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 98.1% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 98.1% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x x)) x)) |
| ✓ | 98.7% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
| ✓ | 98.5% | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
| 98.7% | (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) | |
| 98.7% | (*.f64 x (+.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal -1/144 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) x)) | |
| ✓ | 98.7% | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
| 53.7% | (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))) (*.f64 x x)))) | |
| ✓ | 98.1% | (*.f64 x x) |
Compiled 932 to 352 computations (62.2% saved)
| Inputs |
|---|
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
(*.f64 x x) |
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))) (*.f64 x x)))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (+.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal -1/144 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) x)) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
2 calls:
| 24.0ms | x |
| 8.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
(*.f64 x x) |
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))) (*.f64 x x)))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
| Outputs |
|---|
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
2 calls:
| 8.0ms | x |
| 6.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
(*.f64 x x) |
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))) (*.f64 x x)))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)) |
| Outputs |
|---|
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
2 calls:
| 8.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
(*.f64 x x) |
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) |
| Outputs |
|---|
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)) |
2 calls:
| 6.0ms | x |
| 5.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
(*.f64 x x) |
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))) x) |
| Outputs |
|---|
(*.f64 x x) |
2 calls:
| 3.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | x |
| 53.4% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 73 |
| 1 | 46 | 73 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 x x) |
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))) |
(*.f64 x x) |
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
| 17 068× | accelerator-lowering-fma.f32 |
| 17 068× | accelerator-lowering-fma.f64 |
| 14 328× | accelerator-lowering-fma.f32 |
| 14 328× | accelerator-lowering-fma.f64 |
| 9 232× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1550 |
| 1 | 408 | 1480 |
| 2 | 1087 | 1477 |
| 3 | 3104 | 1476 |
| 4 | 6010 | 1476 |
| 0 | 8352 | 1368 |
| 0 | 29 | 141 |
| 1 | 172 | 141 |
| 2 | 1353 | 141 |
| 0 | 8202 | 123 |
| 0 | 111 | 1840 |
| 1 | 380 | 1810 |
| 2 | 982 | 1805 |
| 3 | 2741 | 1802 |
| 4 | 6458 | 1802 |
| 0 | 8319 | 1692 |
| 0 | 60 | 269 |
| 1 | 168 | 268 |
| 2 | 397 | 262 |
| 3 | 1053 | 262 |
| 4 | 1755 | 262 |
| 5 | 3019 | 262 |
| 6 | 3833 | 262 |
| 7 | 5252 | 262 |
| 8 | 6659 | 262 |
| 0 | 8202 | 241 |
| 0 | 39 | 193 |
| 1 | 220 | 173 |
| 2 | 1648 | 173 |
| 0 | 8152 | 157 |
| 0 | 7 | 17 |
| 1 | 46 | 17 |
| 2 | 389 | 17 |
| 3 | 6856 | 15 |
| 0 | 8036 | 14 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 134 to 74 computations (44.8% saved)
(abs x)
Compiled 282 to 132 computations (53.2% saved)
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