
Time bar (total: 19.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.7% | 74.3% | 0% | 0% | 0% | 0 |
| 100% | 25.7% | 0% | 74.3% | 0% | 0% | 0% | 1 |
Compiled 25 to 19 computations (24% saved)
| 670.0ms | 6 618× | 0 | valid |
| 269.0ms | 1 274× | 1 | valid |
| 144.0ms | 364× | 2 | valid |
ival-pow: 393.0ms (49% of total)ival-<=: 140.0ms (17.4% of total)ival-add: 115.0ms (14.3% of total)ival-sub: 71.0ms (8.8% of total)adjust: 40.0ms (5% of total)ival-and: 21.0ms (2.6% of total)exact: 21.0ms (2.6% of total)ival-assert: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 138× | sub-neg |
| 88× | associate--r+ |
| 82× | cancel-sign-sub-inv |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 60 |
| 1 | 44 | 58 |
| 2 | 93 | 56 |
| 3 | 172 | 56 |
| 4 | 312 | 56 |
| 5 | 461 | 56 |
| 6 | 563 | 56 |
| 7 | 635 | 56 |
| 8 | 648 | 56 |
| 9 | 658 | 56 |
| 0 | 7 | 9 |
| 1 | 10 | 9 |
| 2 | 15 | 9 |
| 3 | 21 | 9 |
| 4 | 29 | 9 |
| 5 | 44 | 9 |
| 6 | 77 | 9 |
| 7 | 103 | 9 |
| 8 | 146 | 9 |
| 9 | 161 | 9 |
| 10 | 169 | 9 |
| 0 | 169 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (pow (+ x eps) 5) (pow x 5)) |
| Outputs |
|---|
(- (pow (+ x eps) 5) (pow x 5)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Inputs |
|---|
(- (pow (+ x eps) 5) (pow x 5)) |
(- (pow (+ (neg x) eps) 5) (pow (neg x) 5)) |
(- (pow (+ x (neg eps)) 5) (pow x 5)) |
(neg (- (pow (+ (neg x) eps) 5) (pow (neg x) 5))) |
(neg (- (pow (+ x (neg eps)) 5) (pow x 5))) |
(- (pow (+ eps x) 5) (pow eps 5)) |
| Outputs |
|---|
(- (pow (+ x eps) 5) (pow x 5)) |
(- (pow (+ (neg x) eps) 5) (pow (neg x) 5)) |
(- (pow (- eps x) 5) (pow (neg x) 5)) |
(- (pow (+ x (neg eps)) 5) (pow x 5)) |
(- (pow (- x eps) 5) (pow x 5)) |
(neg (- (pow (+ (neg x) eps) 5) (pow (neg x) 5))) |
(- (pow (neg x) 5) (pow (- eps x) 5)) |
(neg (- (pow (+ x (neg eps)) 5) (pow x 5))) |
(- (pow x 5) (pow (- x eps) 5)) |
(- (pow (+ eps x) 5) (pow eps 5)) |
(- (pow (+ x eps) 5) (pow eps 5)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 48 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | cancellation | 48 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 0 |
| - | 0 | 208 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 0 |
| - | 0 | 0 | 208 |
| number | freq |
|---|---|
| 0 | 208 |
| 1 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 388× | 0 | valid |
| 14.0ms | 100× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
Compiled 72 to 32 computations (55.6% saved)
ival-pow: 22.0ms (67.2% of total)ival-add: 4.0ms (12.2% of total)adjust: 3.0ms (9.2% of total)ival-sub: 3.0ms (9.2% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.4% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
| 36× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 10 | 23 |
| 2 | 15 | 23 |
| 3 | 21 | 23 |
| 4 | 29 | 23 |
| 5 | 44 | 23 |
| 6 | 77 | 23 |
| 7 | 103 | 23 |
| 8 | 146 | 23 |
| 9 | 161 | 23 |
| 10 | 169 | 23 |
| 0 | 169 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (pow (+ x eps) 5) (pow x 5)) |
(pow (+ x eps) 5) |
(+ x eps) |
x |
eps |
5 |
(pow x 5) |
| Outputs |
|---|
(- (pow (+ x eps) 5) (pow x 5)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow (+ x eps) 5) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+ x eps) |
(+.f64 x eps) |
x |
eps |
5 |
#s(literal 5 binary64) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 5 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x eps) |
| ✓ | accuracy | 99.9% | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| ✓ | accuracy | 83.5% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 33.0ms | 194× | 0 | valid |
| 10.0ms | 50× | 1 | valid |
| 2.0ms | 12× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 9.0ms (51.1% of total)adjust: 4.0ms (22.7% of total)ival-add: 2.0ms (11.4% of total)ival-sub: 2.0ms (11.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (pow (+ x eps) 5) (pow x 5))> |
#<alt (pow (+ x eps) 5)> |
#<alt (+ x eps)> |
#<alt (pow x 5)> |
| Outputs |
|---|
#<alt (pow eps 5)> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))> |
#<alt (* (pow x 4) (+ eps (* 4 eps)))> |
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))> |
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))> |
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))> |
#<alt (* (pow x 4) (+ eps (* 4 eps)))> |
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))> |
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))> |
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))> |
#<alt (* eps (+ (* 4 (pow x 4)) (pow x 4)))> |
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))> |
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))> |
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))> |
#<alt (pow eps 5)> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))> |
#<alt (pow x 5)> |
#<alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))> |
#<alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))> |
#<alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))> |
#<alt (pow x 5)> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))> |
#<alt (pow x 5)> |
#<alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))> |
#<alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))> |
#<alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))> |
#<alt eps> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt x> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt x> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | eps | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | -inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 0.0ms | x | @ | 0 | (pow x 5) |
| 1× | batch-egg-rewrite |
| 4 520× | *-lowering-*.f32 |
| 4 520× | *-lowering-*.f64 |
| 3 728× | accelerator-lowering-fma.f32 |
| 3 728× | accelerator-lowering-fma.f64 |
| 3 216× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 48 | 20 |
| 2 | 346 | 20 |
| 3 | 3542 | 20 |
| 0 | 9396 | 20 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (pow (+ x eps) 5) (pow x 5)) |
(pow (+ x eps) 5) |
(+ x eps) |
(pow x 5) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 #s(literal 0 binary64) (-.f64 x eps))))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) #s(literal 1 binary64))) (*.f64 (-.f64 x eps) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x eps))) (*.f64 (-.f64 x eps) (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (-.f64 #s(literal 0 binary64) (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 x eps)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 x eps))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps)) (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (*.f64 (-.f64 x eps) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 #s(literal 0 binary64) (-.f64 x eps))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x x (*.f64 eps eps)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 x eps))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 #s(literal 0 binary64) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (-.f64 eps x) (*.f64 (-.f64 eps x) (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps)))) |
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(pow.f64 x #s(literal 5 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
| 1× | egg-herbie |
| 19 244× | accelerator-lowering-fma.f32 |
| 19 244× | accelerator-lowering-fma.f64 |
| 6 916× | *-lowering-*.f32 |
| 6 916× | *-lowering-*.f64 |
| 3 992× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(pow x 5) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 4 binary64))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64))) (*.f64 x x))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64))) (*.f64 x x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (-.f64 #s(literal 0 binary64) x)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) (*.f64 x x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)) (fma.f64 eps (*.f64 (/.f64 eps (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 eps x))))))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (-.f64 #s(literal 0 binary64) x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
Compiled 15 704 to 1 221 computations (92.2% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 10 | 366 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 356 | 11 | 367 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 82.0% | (pow.f64 eps #s(literal 5 binary64)) |
| 79.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) | |
| ✓ | 83.4% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 80.0% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 82.0% | (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (-.f64 #s(literal 0 binary64) x)))) | |
| 83.7% | (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) | |
| ▶ | 82.2% | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
| ▶ | 74.7% | (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 84.0% | (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| ▶ | 83.7% | (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| 83.4% | (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
Compiled 367 to 231 computations (37.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -10 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) |
| ✓ | cost-diff | 192 | (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) |
| ✓ | cost-diff | 512 | (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| ✓ | cost-diff | -64 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x eps) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 64 | (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
| ✓ | cost-diff | 512 | (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
| 16 366× | accelerator-lowering-fma.f32 |
| 16 366× | accelerator-lowering-fma.f64 |
| 3 824× | *-lowering-*.f32 |
| 3 824× | *-lowering-*.f64 |
| 3 172× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 287 |
| 1 | 104 | 287 |
| 2 | 268 | 271 |
| 3 | 693 | 265 |
| 4 | 1729 | 265 |
| 5 | 3329 | 265 |
| 6 | 7284 | 265 |
| 0 | 8387 | 249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) |
eps |
(+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) |
(+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10)) |
(+ (* eps (* 5 x)) (* (* x x) 10)) |
(* 5 x) |
5 |
x |
(* (* x x) 10) |
(* x x) |
10 |
(* (* x (* x x)) 10) |
(* x (* x x)) |
(* 5 (pow x 4)) |
(pow x 4) |
4 |
(pow eps 5) |
eps |
5 |
(* (pow eps 5) (+ (* 5 (/ x eps)) 1)) |
(pow eps 5) |
eps |
5 |
(+ (* 5 (/ x eps)) 1) |
(/ x eps) |
x |
1 |
(* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4)))) |
eps |
(+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) |
(* (* x (* x x)) 10) |
(* x (* x x)) |
x |
(* x x) |
10 |
(* 5 (pow x 4)) |
5 |
(pow x 4) |
4 |
(* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) |
(+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) |
(/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) |
(- (* 5 x) (/ (* (* x x) -10) eps)) |
(* 5 x) |
5 |
x |
(/ (* (* x x) -10) eps) |
(* (* x x) -10) |
(* x x) |
-10 |
eps |
1 |
(pow eps 5) |
| Outputs |
|---|
(* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) |
(fma.f64 eps (fma.f64 (*.f64 eps x) (fma.f64 eps (fma.f64 eps #s(literal 5 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x #s(literal 10 binary64) #s(literal 0 binary64)) (+.f64 eps x) #s(literal 0 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) |
eps |
(+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) |
(fma.f64 (*.f64 eps x) (fma.f64 eps (fma.f64 eps #s(literal 5 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x #s(literal 10 binary64) #s(literal 0 binary64)) (+.f64 eps x) #s(literal 0 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10)) |
(fma.f64 x (fma.f64 eps (fma.f64 eps #s(literal 5 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x #s(literal 10 binary64) #s(literal 0 binary64)) (+.f64 eps x) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(+ (* eps (* 5 x)) (* (* x x) 10)) |
(fma.f64 x (fma.f64 eps #s(literal 5 binary64) (fma.f64 x #s(literal 10 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* 5 x) |
(fma.f64 #s(literal 5 binary64) x #s(literal 0 binary64)) |
5 |
#s(literal 5 binary64) |
x |
(* (* x x) 10) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 0 binary64)) |
(* x x) |
(*.f64 x x) |
10 |
#s(literal 10 binary64) |
(* (* x (* x x)) 10) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
5 |
#s(literal 5 binary64) |
(* (pow eps 5) (+ (* 5 (/ x eps)) 1)) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
5 |
#s(literal 5 binary64) |
(+ (* 5 (/ x eps)) 1) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
x |
1 |
#s(literal 1 binary64) |
(* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
eps |
(+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* x (* x x)) 10) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
10 |
#s(literal 10 binary64) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
5 |
#s(literal 5 binary64) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) |
(fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64)) |
(/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) |
(fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 0 binary64)) |
(- (* 5 x) (/ (* (* x x) -10) eps)) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* 5 x) |
(fma.f64 #s(literal 5 binary64) x #s(literal 0 binary64)) |
5 |
#s(literal 5 binary64) |
x |
(/ (* (* x x) -10) eps) |
(fma.f64 x (/.f64 (*.f64 x #s(literal -10 binary64)) eps) #s(literal 0 binary64)) |
(* (* x x) -10) |
(*.f64 x (*.f64 x #s(literal -10 binary64))) |
(* x x) |
(*.f64 x x) |
-10 |
#s(literal -10 binary64) |
eps |
1 |
#s(literal 1 binary64) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -10 binary64)) |
| ✓ | accuracy | 84.1% | (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | accuracy | 77.6% | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
| ✓ | accuracy | 99.9% | (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x eps) |
| ✓ | accuracy | 99.7% | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
| ✓ | accuracy | 98.6% | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 10 binary64)) |
| 84.0ms | 250× | 0 | valid |
| 3.0ms | 5× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 294 to 37 computations (87.4% saved)
ival-add: 25.0ms (38.2% of total)ival-mult: 25.0ms (38.2% of total)ival-pow: 8.0ms (12.2% of total)ival-div: 5.0ms (7.6% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))> |
#<alt (+ (* eps (* 5 x)) (* (* x x) 10))> |
#<alt (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))> |
#<alt (* x x)> |
#<alt (pow eps 5)> |
#<alt (+ (* 5 (/ x eps)) 1)> |
#<alt (/ x eps)> |
#<alt (* (pow eps 5) (+ (* 5 (/ x eps)) 1))> |
#<alt (* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))))> |
#<alt (* x (* x x))> |
#<alt (* 5 (pow x 4))> |
#<alt (- (* 5 x) (/ (* (* x x) -10) eps))> |
#<alt (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1)> |
#<alt (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps)> |
#<alt (* (* x x) -10)> |
#<alt (* (* x x) 10)> |
#<alt (* (* x (* x x)) 10)> |
#<alt (/ (* (* x x) -10) eps)> |
#<alt (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5))> |
| Outputs |
|---|
#<alt (* 10 (pow x 3))> |
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))> |
#<alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))> |
#<alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))> |
#<alt (* 5 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))> |
#<alt (* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))> |
#<alt (* 5 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))> |
#<alt (* 5 (* (pow eps 2) x))> |
#<alt (* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))> |
#<alt (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))> |
#<alt (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))> |
#<alt (* 10 (pow x 3))> |
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))> |
#<alt (* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))> |
#<alt (* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))> |
#<alt (* 10 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))> |
#<alt (* 10 (pow x 2))> |
#<alt (+ (* 5 (* eps x)) (* 10 (pow x 2)))> |
#<alt (+ (* 5 (* eps x)) (* 10 (pow x 2)))> |
#<alt (+ (* 5 (* eps x)) (* 10 (pow x 2)))> |
#<alt (* 5 (* eps x))> |
#<alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* 5 (* eps x))> |
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* 5 (* eps x))> |
#<alt (* x (+ (* 5 eps) (* 10 x)))> |
#<alt (* x (+ (* 5 eps) (* 10 x)))> |
#<alt (* x (+ (* 5 eps) (* 10 x)))> |
#<alt (* 10 (pow x 2))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* 10 (pow x 2))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* 5 (pow x 4))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))> |
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))> |
#<alt (* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))> |
#<alt (* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))> |
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))> |
#<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 eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (* 5 (/ x eps))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* 5 (/ x eps))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* 5 (/ x eps))> |
#<alt (/ (+ eps (* 5 x)) eps)> |
#<alt (/ (+ eps (* 5 x)) eps)> |
#<alt (/ (+ eps (* 5 x)) eps)> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (pow eps 5)> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) 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 (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 x)> |
#<alt (* x (+ 5 (* 10 (/ x eps))))> |
#<alt (* x (+ 5 (* 10 (/ x eps))))> |
#<alt (* x (+ 5 (* 10 (/ x eps))))> |
#<alt (* 10 (/ (pow x 2) eps))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* 10 (/ (pow x 2) eps))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* 10 (/ (pow x 2) eps))> |
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)> |
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)> |
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)> |
#<alt (* 5 x)> |
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))> |
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))> |
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))> |
#<alt (* 5 x)> |
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))> |
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))> |
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))> |
#<alt (+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))> |
#<alt (* 10 (/ (pow x 2) (pow eps 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))> |
#<alt (* 10 (/ (pow x 2) (pow eps 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))> |
#<alt (* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))> |
#<alt (* 10 (/ (pow x 2) (pow eps 2)))> |
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow x 2))) (pow eps 2))> |
#<alt (/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2))> |
#<alt (/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2))> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))> |
#<alt (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))> |
#<alt (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))> |
#<alt (* 5 (/ x eps))> |
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))> |
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))> |
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))> |
#<alt (* 10 (/ (pow x 2) (pow eps 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))> |
#<alt (* 10 (/ (pow x 2) (pow eps 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))> |
#<alt (* 10 (/ (pow x 2) (pow eps 2)))> |
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))> |
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))> |
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))> |
#<alt (* 5 (/ x eps))> |
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)> |
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)> |
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)> |
#<alt (* 5 (/ x eps))> |
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))> |
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))> |
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* -10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (* -10 (/ (pow x 2) eps))> |
#<alt (pow eps 5)> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))> |
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))> |
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))> |
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | (* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4)))) |
| 2.0ms | x | @ | inf | (- (* 5 x) (/ (* (* x x) -10) eps)) |
| 1.0ms | x | @ | inf | (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10)) |
| 1.0ms | x | @ | 0 | (* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4)))) |
| 1.0ms | x | @ | 0 | (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10)) |
| 1× | batch-egg-rewrite |
| 5 346× | *-lowering-*.f32 |
| 5 346× | *-lowering-*.f64 |
| 4 042× | /-lowering-/.f32 |
| 4 042× | /-lowering-/.f64 |
| 3 730× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 187 |
| 1 | 209 | 187 |
| 2 | 1814 | 187 |
| 0 | 8187 | 174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10)) |
(+ (* eps (* 5 x)) (* (* x x) 10)) |
(+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) |
(* x x) |
(pow eps 5) |
(+ (* 5 (/ x eps)) 1) |
(/ x eps) |
(* (pow eps 5) (+ (* 5 (/ x eps)) 1)) |
(* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4)))) |
(* x (* x x)) |
(* 5 (pow x 4)) |
(- (* 5 x) (/ (* (* x x) -10) eps)) |
(+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) |
(/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) |
(* (* x x) -10) |
(* (* x x) 10) |
(* (* x (* x x)) 10) |
(/ (* (* x x) -10) eps) |
(* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) |
| Outputs |
|---|
(+.f64 (*.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))))) |
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (fma.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))))) |
(+.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
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(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)))) (*.f64 eps (*.f64 eps eps))))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) #s(literal -1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)))) (*.f64 eps (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)))) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)))) (*.f64 eps (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64))) |
| 1× | egg-herbie |
| 22 768× | accelerator-lowering-fma.f32 |
| 22 768× | accelerator-lowering-fma.f64 |
| 5 586× | *-lowering-*.f32 |
| 5 586× | *-lowering-*.f64 |
| 2 560× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 3434 |
| 1 | 925 | 3345 |
| 2 | 2838 | 3187 |
| 3 | 5869 | 3180 |
| 0 | 8297 | 2963 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* 10 (pow x 2)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(* 5 (* eps x)) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* eps x)) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(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 eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 5 (/ x eps)) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) 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) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 10 (/ (pow x 2) eps)) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) (pow eps 2)) |
(/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2)) |
(/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(* 5 (/ x eps)) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(* 5 (/ x eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* -10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
| Outputs |
|---|
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 0 binary64)) (+.f64 x eps)) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 x (fma.f64 eps (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) #s(literal 0 binary64))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x)) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x)) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 x (fma.f64 eps (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) #s(literal 0 binary64))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x)) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x)) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 x (fma.f64 eps (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) #s(literal 0 binary64))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 0 binary64)) (+.f64 x eps)) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 5 binary64) (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 5 binary64) (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 0 binary64)) (+.f64 x eps)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) eps (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) eps (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) x))) |
(* 10 (pow x 2)) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* 5 (* eps x)) |
(fma.f64 x (*.f64 eps #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* 5 (* eps x)) |
(fma.f64 x (*.f64 eps #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* 5 (* eps x)) |
(fma.f64 x (*.f64 eps #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* 10 (pow x 2)) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))) |
(* 10 (pow x 2)) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 #s(literal 10 binary64) (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 0 binary64)) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(fma.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* (pow eps 3) x)) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x)) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x)) (*.f64 #s(literal 5 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (*.f64 eps eps)))))))) |
(* 5 (* (pow eps 3) x)) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x)) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) eps)) eps)))) |
(* 5 (* (pow eps 3) x)) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
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(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64))) |
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64))) |
Compiled 33 411 to 2 549 computations (92.4% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 065 | 15 | 1 080 |
| Fresh | 3 | 2 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 072 | 19 | 1 091 |
| Status | Accuracy | Program |
|---|---|---|
| 83.7% | (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) | |
| 83.7% | (fma.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) | |
| ✓ | 82.0% | (pow.f64 eps #s(literal 5 binary64)) |
| 79.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) | |
| ✓ | 83.4% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 80.0% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 82.2% | (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) | |
| ▶ | 83.7% | (*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
| 83.7% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) | |
| 66.7% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) | |
| ▶ | 40.6% | (*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))))) |
| 66.9% | (*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) | |
| 82.4% | (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) | |
| 82.4% | (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) | |
| 83.7% | (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) | |
| 34.3% | (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))))) | |
| ▶ | 66.8% | (*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
| ▶ | 82.0% | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
| ▶ | 83.9% | (*.f64 eps (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
Compiled 730 to 395 computations (45.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 1088 | (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))) |
| ✓ | cost-diff | 1152 | (*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))))) |
| ✓ | cost-diff | 1472 | (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 128 | (*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
| ✓ | cost-diff | 960 | (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))) |
| 14 118× | accelerator-lowering-fma.f32 |
| 14 118× | accelerator-lowering-fma.f64 |
| 4 216× | *-lowering-*.f32 |
| 4 216× | *-lowering-*.f64 |
| 1 726× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 376 |
| 1 | 145 | 344 |
| 2 | 498 | 324 |
| 3 | 1531 | 312 |
| 4 | 2724 | 308 |
| 5 | 3835 | 306 |
| 6 | 6164 | 306 |
| 7 | 7565 | 306 |
| 8 | 7666 | 306 |
| 9 | 7718 | 306 |
| 10 | 7742 | 306 |
| 0 | 8171 | 289 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps (* x (+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5)))))) |
eps |
(* x (+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5))))) |
x |
(+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5)))) |
(* x (+ (* 10 eps) (+ (* x 5) 0))) |
(+ (* 10 eps) (+ (* x 5) 0)) |
10 |
(+ (* x 5) 0) |
5 |
0 |
(* (* eps eps) (+ (* 10 x) (* eps 5))) |
(* eps eps) |
(+ (* 10 x) (* eps 5)) |
(* eps 5) |
(* eps (* (* eps (* eps eps)) eps)) |
eps |
(* (* eps (* eps eps)) eps) |
(* eps (* eps eps)) |
(* eps eps) |
(* eps (* (* x (+ (* 10 x) (* eps 5))) (* eps eps))) |
eps |
(* (* x (+ (* 10 x) (* eps 5))) (* eps eps)) |
(* x (+ (* 10 x) (* eps 5))) |
x |
(+ (* 10 x) (* eps 5)) |
10 |
(* eps 5) |
5 |
(* eps eps) |
(* (+ (* eps (* x (* (* x x) 10))) (* 5 (* x (* x (* x x))))) eps) |
(+ (* eps (* x (* (* x x) 10))) (* 5 (* x (* x (* x x))))) |
eps |
(* x (* (* x x) 10)) |
x |
(* (* x x) 10) |
(* x x) |
10 |
(* 5 (* x (* x (* x x)))) |
5 |
(* x (* x (* x x))) |
(* x (* x x)) |
(* (* x x) (+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x))))) |
(* x x) |
x |
(+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x)))) |
eps |
(/ (* (* eps (* eps eps)) eps) (* x x)) |
(* (* eps (* eps eps)) eps) |
(* eps (* eps eps)) |
(* eps eps) |
(+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x))) |
10 |
(* 5 (/ (* (* eps (* eps eps)) eps) x)) |
5 |
(/ (* (* eps (* eps eps)) eps) x) |
| Outputs |
|---|
(* eps (* x (+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5)))))) |
(fma.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
eps |
(* x (+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5))))) |
(fma.f64 x (fma.f64 eps (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
x |
(+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5)))) |
(fma.f64 eps (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* x (+ (* 10 eps) (+ (* x 5) 0))) |
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(+ (* 10 eps) (+ (* x 5) 0)) |
(fma.f64 eps #s(literal 10 binary64) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))) |
10 |
#s(literal 10 binary64) |
(+ (* x 5) 0) |
(fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)) |
5 |
#s(literal 5 binary64) |
0 |
#s(literal 0 binary64) |
(* (* eps eps) (+ (* 10 x) (* eps 5))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #s(literal 0 binary64)) |
(* eps eps) |
(*.f64 eps eps) |
(+ (* 10 x) (* eps 5)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(* eps 5) |
(*.f64 eps #s(literal 5 binary64)) |
(* eps (* (* eps (* eps eps)) eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
eps |
(* (* eps (* eps eps)) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(* eps (* eps eps)) |
(*.f64 eps (*.f64 eps eps)) |
(* eps eps) |
(*.f64 eps eps) |
(* eps (* (* x (+ (* 10 x) (* eps 5))) (* eps eps))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
eps |
(* (* x (+ (* 10 x) (* eps 5))) (* eps eps)) |
(fma.f64 eps (fma.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* 10 x) (* eps 5))) |
(fma.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #s(literal 0 binary64)) |
x |
(+ (* 10 x) (* eps 5)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
10 |
#s(literal 10 binary64) |
(* eps 5) |
(*.f64 eps #s(literal 5 binary64)) |
5 |
#s(literal 5 binary64) |
(* eps eps) |
(*.f64 eps eps) |
(* (+ (* eps (* x (* (* x x) 10))) (* 5 (* x (* x (* x x))))) eps) |
(fma.f64 (fma.f64 eps #s(literal 10 binary64) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) |
(+ (* eps (* x (* (* x x) 10))) (* 5 (* x (* x (* x x))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
eps |
(* x (* (* x x) 10)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 10 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* (* x x) 10) |
(fma.f64 x (*.f64 x #s(literal 10 binary64)) #s(literal 0 binary64)) |
(* x x) |
(*.f64 x x) |
10 |
#s(literal 10 binary64) |
(* 5 (* x (* x (* x x)))) |
(fma.f64 (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) |
5 |
#s(literal 5 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* (* x x) (+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 x (*.f64 x #s(literal 10 binary64)) #s(literal 0 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x)))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 eps x) (+.f64 #s(literal 5 binary64) (/.f64 eps x)) #s(literal 10 binary64)))) |
eps |
(/ (* (* eps (* eps eps)) eps) (* x x)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x x)) |
(* (* eps (* eps eps)) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(* eps (* eps eps)) |
(*.f64 eps (*.f64 eps eps)) |
(* eps eps) |
(*.f64 eps eps) |
(+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
10 |
#s(literal 10 binary64) |
(* 5 (/ (* (* eps (* eps eps)) eps) x)) |
(fma.f64 eps (/.f64 (fma.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) #s(literal 0 binary64)) x) #s(literal 0 binary64)) |
5 |
#s(literal 5 binary64) |
(/ (* (* eps (* eps eps)) eps) x) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.9% | (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x)))) |
| ✓ | accuracy | 92.2% | (*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))))) |
| ✓ | accuracy | 90.0% | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
| ✓ | accuracy | 57.9% | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 10 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 eps eps)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))))) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
| 98.0ms | 231× | 0 | valid |
| 11.0ms | 20× | 1 | valid |
| 4.0ms | 5× | 2 | valid |
Compiled 408 to 44 computations (89.2% saved)
ival-mult: 78.0ms (85.7% of total)ival-add: 8.0ms (8.8% of total)ival-div: 4.0ms (4.4% of total)adjust: 1.0ms (1.1% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5))))> |
#<alt (+ (* 10 eps) (+ (* x 5) 0))> |
#<alt (+ (* x 5) 0)> |
#<alt (* eps eps)> |
#<alt (* eps (* (* eps (* eps eps)) eps))> |
#<alt (* (* eps (* eps eps)) eps)> |
#<alt (* eps (* eps eps))> |
#<alt (* eps (* (* x (+ (* 10 x) (* eps 5))) (* eps eps)))> |
#<alt (+ (* 10 x) (* eps 5))> |
#<alt (* eps 5)> |
#<alt (+ (* eps (* x (* (* x x) 10))) (* 5 (* x (* x (* x x)))))> |
#<alt (* (+ (* eps (* x (* (* x x) 10))) (* 5 (* x (* x (* x x))))) eps)> |
#<alt (* x x)> |
#<alt (* x (* x (* x x)))> |
#<alt (+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x))))> |
#<alt (* (* x x) (+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x)))))> |
#<alt (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x)))> |
#<alt (* (* eps eps) (+ (* 10 x) (* eps 5)))> |
#<alt (* x (+ (* 10 eps) (+ (* x 5) 0)))> |
#<alt (* x (+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5)))))> |
#<alt (* x (+ (* 10 x) (* eps 5)))> |
#<alt (* (* x (+ (* 10 x) (* eps 5))) (* eps eps))> |
#<alt (* (* x x) 10)> |
#<alt (* x (* (* x x) 10))> |
#<alt (* x (* x x))> |
#<alt (/ (* (* eps (* eps eps)) eps) (* x x))> |
#<alt (/ (* (* eps (* eps eps)) eps) x)> |
| Outputs |
|---|
#<alt (* 5 (pow eps 3))> |
#<alt (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))> |
#<alt (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))> |
#<alt (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))> |
#<alt (* 5 (pow x 3))> |
#<alt (* (pow x 3) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))> |
#<alt (* (pow x 3) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))> |
#<alt (* 5 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))) x)) (* 10 eps)) x)) 5)))> |
#<alt (* 5 (pow x 3))> |
#<alt (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))> |
#<alt (+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))))> |
#<alt (+ (* 5 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))))> |
#<alt (* 5 (pow eps 3))> |
#<alt (* (pow eps 3) (+ 5 (* 10 (/ x eps))))> |
#<alt (* (pow eps 3) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))> |
#<alt (* (pow eps 3) (+ 5 (+ (* 5 (/ (pow x 3) (pow eps 3))) (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))))> |
#<alt (* 5 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5)))> |
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 10 x) (* 10 (/ (pow x 2) eps))) eps)) 5)))> |
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x)) eps)) 5)))> |
#<alt (* 5 x)> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (* 10 eps)> |
#<alt (* eps (+ 10 (* 5 (/ x eps))))> |
#<alt (* eps (+ 10 (* 5 (/ x eps))))> |
#<alt (* eps (+ 10 (* 5 (/ x eps))))> |
#<alt (* 10 eps)> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))> |
#<alt (* 10 eps)> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (* 5 x)> |
#<alt (* x (+ 5 (* 10 (/ eps x))))> |
#<alt (* x (+ 5 (* 10 (/ eps x))))> |
#<alt (* x (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 x)> |
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))> |
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))> |
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (* 5 x)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))> |
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))> |
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))> |
#<alt (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))> |
#<alt (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* 5 eps)> |
#<alt (+ (* 5 eps) (* 10 x))> |
#<alt (+ (* 5 eps) (* 10 x))> |
#<alt (+ (* 5 eps) (* 10 x))> |
#<alt (* 10 x)> |
#<alt (* x (+ 10 (* 5 (/ eps x))))> |
#<alt (* x (+ 10 (* 5 (/ eps x))))> |
#<alt (* x (+ 10 (* 5 (/ eps x))))> |
#<alt (* 10 x)> |
#<alt (* -1 (* x (- (* -5 (/ eps x)) 10)))> |
#<alt (* -1 (* x (- (* -5 (/ eps x)) 10)))> |
#<alt (* -1 (* x (- (* -5 (/ eps x)) 10)))> |
#<alt (* 10 x)> |
#<alt (+ (* 5 eps) (* 10 x))> |
#<alt (+ (* 5 eps) (* 10 x))> |
#<alt (+ (* 5 eps) (* 10 x))> |
#<alt (* 5 eps)> |
#<alt (* eps (+ 5 (* 10 (/ x eps))))> |
#<alt (* eps (+ 5 (* 10 (/ x eps))))> |
#<alt (* eps (+ 5 (* 10 (/ x eps))))> |
#<alt (* 5 eps)> |
#<alt (* -1 (* eps (- (* -10 (/ x eps)) 5)))> |
#<alt (* -1 (* eps (- (* -10 (/ x eps)) 5)))> |
#<alt (* -1 (* eps (- (* -10 (/ x eps)) 5)))> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 (pow x 4))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))> |
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))> |
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<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 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 (* 10 (pow eps 3))> |
#<alt (* (pow eps 3) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow eps 3) (+ 10 (* eps (+ (* 5 (/ 1 x)) (/ eps (pow x 2))))))> |
#<alt (* (pow eps 3) (+ 10 (* eps (+ (* 5 (/ 1 x)) (/ eps (pow x 2))))))> |
#<alt (/ (pow eps 5) (pow x 2))> |
#<alt (* (pow eps 5) (+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2))))> |
#<alt (* (pow eps 5) (+ (/ 1 (pow x 2)) (+ (/ 5 (* eps x)) (/ 10 (pow eps 2)))))> |
#<alt (* (pow eps 5) (+ (/ 1 (pow x 2)) (+ (/ 5 (* eps x)) (/ 10 (pow eps 2)))))> |
#<alt (/ (pow eps 5) (pow x 2))> |
#<alt (* (pow eps 5) (+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2))))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) eps)) (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) eps)) (/ 1 (pow x 2)))))> |
#<alt (/ (pow eps 5) (pow x 2))> |
#<alt (/ (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (pow x 2))> |
#<alt (/ (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) (pow x 2))> |
#<alt (/ (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) (pow x 2))> |
#<alt (* 10 (pow eps 3))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))> |
#<alt (* 10 (pow eps 3))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))> |
#<alt (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))> |
#<alt (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))> |
#<alt (pow eps 5)> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))> |
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))> |
#<alt (* 10 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))> |
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))> |
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))> |
#<alt (* 10 (pow eps 3))> |
#<alt (* (pow eps 3) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow eps 3) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow eps 3) (+ 10 (* 5 (/ eps x))))> |
#<alt (* 5 (/ (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* 5 (/ (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))> |
#<alt (* 5 (/ (pow eps 4) x))> |
#<alt (/ (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) x)> |
#<alt (/ (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) x)> |
#<alt (/ (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) x)> |
#<alt (* 10 (pow eps 3))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))> |
#<alt (* 10 (pow eps 3))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))> |
#<alt (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))> |
#<alt (* 10 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 eps) (* 10 x)))> |
#<alt (* (pow eps 2) (+ (* 5 eps) (* 10 x)))> |
#<alt (* (pow eps 2) (+ (* 5 eps) (* 10 x)))> |
#<alt (* 5 (pow eps 3))> |
#<alt (* (pow eps 3) (+ 5 (* 10 (/ x eps))))> |
#<alt (* (pow eps 3) (+ 5 (* 10 (/ x eps))))> |
#<alt (* (pow eps 3) (+ 5 (* 10 (/ x eps))))> |
#<alt (* 5 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5)))> |
#<alt (* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5)))> |
#<alt (* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5)))> |
#<alt (* 5 (pow eps 3))> |
#<alt (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))> |
#<alt (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))> |
#<alt (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))> |
#<alt (* 10 (* (pow eps 2) x))> |
#<alt (* x (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* x (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* x (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* 10 (* (pow eps 2) x))> |
#<alt (* -1 (* x (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x)))))> |
#<alt (* -1 (* x (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x)))))> |
#<alt (* -1 (* x (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x)))))> |
#<alt (* 10 (* eps x))> |
#<alt (* x (+ (* 5 x) (* 10 eps)))> |
#<alt (* x (+ (* 5 x) (* 10 eps)))> |
#<alt (* x (+ (* 5 x) (* 10 eps)))> |
#<alt (* 5 (pow x 2))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (pow x 2))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (pow x 2))> |
#<alt (+ (* 5 (pow x 2)) (* 10 (* eps x)))> |
#<alt (+ (* 5 (pow x 2)) (* 10 (* eps x)))> |
#<alt (+ (* 5 (pow x 2)) (* 10 (* eps x)))> |
#<alt (* 10 (* eps x))> |
#<alt (* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* 10 (* eps x))> |
#<alt (* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))> |
#<alt (* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))> |
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))> |
#<alt (* 5 (pow x 4))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))> |
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))> |
#<alt (* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))> |
#<alt (* 5 (* eps x))> |
#<alt (* x (+ (* 5 eps) (* 10 x)))> |
#<alt (* x (+ (* 5 eps) (* 10 x)))> |
#<alt (* x (+ (* 5 eps) (* 10 x)))> |
#<alt (* 10 (pow x 2))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* 10 (pow x 2))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))> |
#<alt (* 10 (pow x 2))> |
#<alt (+ (* 5 (* eps x)) (* 10 (pow x 2)))> |
#<alt (+ (* 5 (* eps x)) (* 10 (pow x 2)))> |
#<alt (+ (* 5 (* eps x)) (* 10 (pow x 2)))> |
#<alt (* 5 (* eps x))> |
#<alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* 5 (* eps x))> |
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))> |
#<alt (* 10 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* 10 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))> |
#<alt (* 10 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (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 (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) (pow x 2))> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
#<alt (/ (pow eps 4) x)> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x)))) |
| 1.0ms | x | @ | -inf | (+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5)))) |
| 1.0ms | x | @ | 0 | (* eps (* (* x (+ (* 10 x) (* eps 5))) (* eps eps))) |
| 1.0ms | x | @ | -inf | (* eps (* (* x (+ (* 10 x) (* eps 5))) (* eps eps))) |
| 0.0ms | x | @ | inf | (* eps (* (* x (+ (* 10 x) (* eps 5))) (* eps eps))) |
| 1× | batch-egg-rewrite |
| 5 954× | accelerator-lowering-fma.f32 |
| 5 954× | accelerator-lowering-fma.f64 |
| 5 380× | *-lowering-*.f32 |
| 5 380× | *-lowering-*.f64 |
| 4 238× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 285 |
| 1 | 246 | 259 |
| 2 | 2188 | 253 |
| 0 | 8444 | 233 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5)))) |
(+ (* 10 eps) (+ (* x 5) 0)) |
(+ (* x 5) 0) |
(* eps eps) |
(* eps (* (* eps (* eps eps)) eps)) |
(* (* eps (* eps eps)) eps) |
(* eps (* eps eps)) |
(* eps (* (* x (+ (* 10 x) (* eps 5))) (* eps eps))) |
(+ (* 10 x) (* eps 5)) |
(* eps 5) |
(+ (* eps (* x (* (* x x) 10))) (* 5 (* x (* x (* x x))))) |
(* (+ (* eps (* x (* (* x x) 10))) (* 5 (* x (* x (* x x))))) eps) |
(* x x) |
(* x (* x (* x x))) |
(+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x)))) |
(* (* x x) (+ (* eps (/ (* (* eps (* eps eps)) eps) (* x x))) (+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x))))) |
(+ (* 10 (* eps (* eps eps))) (* 5 (/ (* (* eps (* eps eps)) eps) x))) |
(* (* eps eps) (+ (* 10 x) (* eps 5))) |
(* x (+ (* 10 eps) (+ (* x 5) 0))) |
(* x (+ (* x (* x (+ (* 10 eps) (+ (* x 5) 0)))) (* (* eps eps) (+ (* 10 x) (* eps 5))))) |
(* x (+ (* 10 x) (* eps 5))) |
(* (* x (+ (* 10 x) (* eps 5))) (* eps eps)) |
(* (* x x) 10) |
(* x (* (* x x) 10)) |
(* x (* x x)) |
(/ (* (* eps (* eps eps)) eps) (* x x)) |
(/ (* (* eps (* eps eps)) eps) x) |
| Outputs |
|---|
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))) |
(+.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)))) |
(+.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
(+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) (/.f64 (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))))) |
(-.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) (-.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) (-.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))) |
(fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
(fma.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps)) (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
(fma.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)) x (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))) |
(fma.f64 (*.f64 eps eps) (*.f64 x #s(literal 10 binary64)) (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps eps) (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 10 binary64) eps)) eps (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
(fma.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) eps (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 5 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) #s(literal 0 binary64))))) |
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(*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) x) (/.f64 eps x)) |
(*.f64 (/.f64 eps x) (/.f64 (*.f64 eps (*.f64 eps eps)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x)) |
(*.f64 (/.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 (*.f64 eps eps) x)) |
(*.f64 (/.f64 eps (-.f64 #s(literal 0 binary64) x)) (/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) x)) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (neg.f64 eps) x)) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 (neg.f64 eps) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) x) (/.f64 eps (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (neg.f64 eps) x) (/.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 eps (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) x)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 eps (/.f64 (*.f64 eps (*.f64 eps eps)) x)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (/.f64 eps x))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 eps x)) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 eps x) (*.f64 eps (*.f64 eps eps))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) x)) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 (neg.f64 eps) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 eps x)) |
(*.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) x)) |
| 1× | egg-herbie |
| 17 950× | accelerator-lowering-fma.f32 |
| 17 950× | accelerator-lowering-fma.f64 |
| 6 818× | *-lowering-*.f32 |
| 6 818× | *-lowering-*.f64 |
| 3 740× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 337 | 4844 |
| 1 | 1155 | 4770 |
| 2 | 3648 | 4659 |
| 3 | 7726 | 4643 |
| 0 | 8279 | 4376 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5 (pow eps 3)) |
(+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))) |
(+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))) |
(+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 3) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))) x)) (* 10 eps)) x)) 5))) |
(* 5 (pow x 3)) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))) |
(* 5 (pow eps 3)) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ 5 (+ (* 5 (/ (pow x 3) (pow eps 3))) (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))) |
(* 5 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 10 x) (* 10 (/ (pow x 2) eps))) eps)) 5))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x)) eps)) 5))) |
(* 5 x) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(* 10 eps) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* 10 eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* 10 eps) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* 5 x) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(* 5 x) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 x)) |
(+ (* 5 eps) (* 10 x)) |
(+ (* 5 eps) (* 10 x)) |
(* 10 x) |
(* x (+ 10 (* 5 (/ eps x)))) |
(* x (+ 10 (* 5 (/ eps x)))) |
(* x (+ 10 (* 5 (/ eps x)))) |
(* 10 x) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(* 10 x) |
(+ (* 5 eps) (* 10 x)) |
(+ (* 5 eps) (* 10 x)) |
(+ (* 5 eps) (* 10 x)) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(* 5 eps) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(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 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) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 5 (/ eps x)))) |
(* (pow eps 3) (+ 10 (* eps (+ (* 5 (/ 1 x)) (/ eps (pow x 2)))))) |
(* (pow eps 3) (+ 10 (* eps (+ (* 5 (/ 1 x)) (/ eps (pow x 2)))))) |
(/ (pow eps 5) (pow x 2)) |
(* (pow eps 5) (+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2)))) |
(* (pow eps 5) (+ (/ 1 (pow x 2)) (+ (/ 5 (* eps x)) (/ 10 (pow eps 2))))) |
(* (pow eps 5) (+ (/ 1 (pow x 2)) (+ (/ 5 (* eps x)) (/ 10 (pow eps 2))))) |
(/ (pow eps 5) (pow x 2)) |
(* (pow eps 5) (+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) eps)) (/ 1 (pow x 2))))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) eps)) (/ 1 (pow x 2))))) |
(/ (pow eps 5) (pow x 2)) |
(/ (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (pow x 2)) |
(/ (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) (pow x 2)) |
(/ (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) (pow x 2)) |
(* 10 (pow eps 3)) |
(+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) |
(+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))) |
(+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))) |
(* 10 (pow eps 3)) |
(+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) |
(+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) |
(+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 5 (/ eps x)))) |
(* (pow eps 3) (+ 10 (* 5 (/ eps x)))) |
(* (pow eps 3) (+ 10 (* 5 (/ eps x)))) |
(* 5 (/ (pow eps 4) x)) |
(* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 5 (/ (pow eps 4) x)) |
(* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow eps 4) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 5 (/ (pow eps 4) x)) |
(/ (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) x) |
(/ (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) x) |
(/ (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) x) |
(* 10 (pow eps 3)) |
(+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) |
(+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) |
(+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) |
(* 10 (pow eps 3)) |
(+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) |
(+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) |
(+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 5 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 5 eps) (* 10 x))) |
(* 5 (pow eps 3)) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(* 5 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(* 5 (pow eps 3)) |
(+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))) |
(+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))) |
(+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))))) |
(* -1 (* x (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))))) |
(* -1 (* x (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))))) |
(* 10 (* eps x)) |
(* x (+ (* 5 x) (* 10 eps))) |
(* x (+ (* 5 x) (* 10 eps))) |
(* x (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 2)) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(* 10 (* eps x)) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (* eps x)) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 10 (pow x 2)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(* 5 (* eps x)) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* eps x)) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (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) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) (pow x 2)) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
(/ (pow eps 4) x) |
| Outputs |
|---|
(* 5 (pow eps 3)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))) |
(+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) |
(+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) |
(+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))) |
(fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(* 5 (pow x 3)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))) |
(* (pow x 3) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)))) |
(* 5 (pow x 3)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(*.f64 (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 eps (/.f64 eps x) eps) (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))) x)) (* 10 eps)) x)) 5))) |
(*.f64 (-.f64 #s(literal -5 binary64) (/.f64 (-.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -5 binary64) x) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* 5 (pow x 3)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))) |
(fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(* 5 (pow eps 3)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64))) |
(* (pow eps 3) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64))) |
(* (pow eps 3) (+ 5 (+ (* 5 (/ (pow x 3) (pow eps 3))) (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64)))) |
(* 5 (pow eps 3)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 #s(literal -10 binary64) eps) #s(literal -5 binary64)))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 10 x) (* 10 (/ (pow x 2) eps))) eps)) 5))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 x (/.f64 x eps) x) eps) #s(literal -5 binary64)))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x)) eps)) 5))) |
(*.f64 (-.f64 #s(literal -5 binary64) (/.f64 (-.f64 (*.f64 #s(literal 10 binary64) x) (/.f64 (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -10 binary64))) eps)) eps)) (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 5) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) eps) |
(pow eps 4) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
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(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.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)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) (pow x 2)) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
(/ (pow eps 4) x) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x) |
Compiled 99 690 to 6 381 computations (93.6% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 065 | 14 | 2 079 |
| Fresh | 7 | 5 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 076 | 22 | 2 098 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.7% | (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
| ✓ | 82.0% | (pow.f64 eps #s(literal 5 binary64)) |
| 79.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) | |
| ✓ | 83.4% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 80.0% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 83.7% | (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) | |
| 82.2% | (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) | |
| ▶ | 83.7% | (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
| 83.7% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) | |
| 40.3% | (*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))))) | |
| 82.4% | (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) | |
| 82.2% | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) | |
| 81.9% | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) | |
| ▶ | 83.4% | (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
| 82.4% | (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) | |
| 83.9% | (*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) | |
| ✓ | 82.0% | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
| ▶ | 81.9% | (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
| 83.9% | (*.f64 eps (*.f64 x (fma.f64 x (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 (*.f64 x x) #s(literal 25 binary64) #s(literal 0 binary64))) x) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) | |
| ▶ | 83.9% | (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
| 83.4% | (*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) | |
| 83.4% | (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
Compiled 751 to 419 computations (44.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 1280 | (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) |
| ✓ | cost-diff | 0 | (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
| 5 412× | accelerator-lowering-fma.f32 |
| 5 412× | accelerator-lowering-fma.f64 |
| 1 562× | *-lowering-*.f32 |
| 1 562× | *-lowering-*.f64 |
| 810× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 295 |
| 1 | 108 | 277 |
| 2 | 325 | 273 |
| 3 | 864 | 271 |
| 4 | 1439 | 259 |
| 5 | 2075 | 259 |
| 6 | 2645 | 259 |
| 7 | 2887 | 259 |
| 8 | 2932 | 259 |
| 9 | 2932 | 259 |
| 10 | 2955 | 259 |
| 0 | 2955 | 245 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* eps (* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10))))))) |
eps |
(* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10)))))) |
x |
(+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10))))) |
(* eps (+ (* 5 eps) (* 10 x))) |
(+ (* 5 eps) (* 10 x)) |
5 |
(* 10 x) |
10 |
(* x (* x (+ (* 5 x) (* eps 10)))) |
(* x (+ (* 5 x) (* eps 10))) |
(+ (* 5 x) (* eps 10)) |
(* eps 10) |
(* eps (* (* eps eps) (* eps eps))) |
eps |
(* (* eps eps) (* eps eps)) |
(* eps eps) |
(* (* 5 (* (* x (* x x)) x)) eps) |
(* 5 (* (* x (* x x)) x)) |
5 |
(* (* x (* x x)) x) |
(* x (* x x)) |
x |
(* x x) |
eps |
(* (* x (* x (* x (+ (* 5 x) (* eps 10))))) eps) |
(* x (* x (* x (+ (* 5 x) (* eps 10))))) |
x |
(* x (* x (+ (* 5 x) (* eps 10)))) |
(* x (+ (* 5 x) (* eps 10))) |
(+ (* 5 x) (* eps 10)) |
5 |
(* eps 10) |
eps |
10 |
(+ (* (* x (* x (* x x))) (* eps 5)) (* (* x (* (* x x) 10)) (* eps eps))) |
(* x (* x (* x x))) |
x |
(* x (* x x)) |
(* x x) |
(* eps 5) |
eps |
5 |
(* (* x (* (* x x) 10)) (* eps eps)) |
(* x (* (* x x) 10)) |
(* (* x x) 10) |
10 |
(* eps eps) |
| Outputs |
|---|
(* eps (* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10))))))) |
(*.f64 eps (*.f64 x (fma.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 x x) (*.f64 eps (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
eps |
(* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10)))))) |
(*.f64 x (fma.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 x x) (*.f64 eps (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) |
x |
(+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10))))) |
(fma.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 x x) (*.f64 eps (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) |
(* eps (+ (* 5 eps) (* 10 x))) |
(*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(+ (* 5 eps) (* 10 x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
5 |
#s(literal 5 binary64) |
(* 10 x) |
(*.f64 x #s(literal 10 binary64)) |
10 |
#s(literal 10 binary64) |
(* x (* x (+ (* 5 x) (* eps 10)))) |
(*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) |
(* x (+ (* 5 x) (* eps 10))) |
(*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) |
(+ (* 5 x) (* eps 10)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) |
(* eps 10) |
(*.f64 eps #s(literal 10 binary64)) |
(* eps (* (* eps eps) (* eps eps))) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
eps |
(* (* eps eps) (* eps eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(* eps eps) |
(*.f64 eps eps) |
(* (* 5 (* (* x (* x x)) x)) eps) |
(*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 5 (* (* x (* x x)) x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
5 |
#s(literal 5 binary64) |
(* (* x (* x x)) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
eps |
(* (* x (* x (* x (+ (* 5 x) (* eps 10))))) eps) |
(*.f64 eps (*.f64 x (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 x x)))) |
(* x (* x (* x (+ (* 5 x) (* eps 10))))) |
(*.f64 x (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 x x))) |
x |
(* x (* x (+ (* 5 x) (* eps 10)))) |
(*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) |
(* x (+ (* 5 x) (* eps 10))) |
(*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) |
(+ (* 5 x) (* eps 10)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) |
5 |
#s(literal 5 binary64) |
(* eps 10) |
(*.f64 eps #s(literal 10 binary64)) |
eps |
10 |
#s(literal 10 binary64) |
(+ (* (* x (* x (* x x))) (* eps 5)) (* (* x (* (* x x) 10)) (* eps eps))) |
(*.f64 eps (*.f64 x (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 x x)))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* eps 5) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
5 |
#s(literal 5 binary64) |
(* (* x (* (* x x) 10)) (* eps eps)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))) |
(* x (* (* x x) 10)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* (* x x) 10) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
10 |
#s(literal 10 binary64) |
(* eps eps) |
(*.f64 eps eps) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 10 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
| 64.0ms | 231× | 0 | valid |
| 9.0ms | 20× | 1 | valid |
| 3.0ms | 5× | 2 | valid |
Compiled 301 to 36 computations (88% saved)
ival-mult: 43.0ms (80.2% of total)ival-add: 9.0ms (16.8% of total)adjust: 1.0ms (1.9% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* eps (* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10)))))))> |
#<alt (* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10))))))> |
#<alt (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10)))))> |
#<alt (* eps (+ (* 5 eps) (* 10 x)))> |
#<alt (* eps (* (* eps eps) (* eps eps)))> |
#<alt (* (* eps eps) (* eps eps))> |
#<alt (* eps eps)> |
#<alt (* (* 5 (* (* x (* x x)) x)) eps)> |
#<alt (* 5 (* (* x (* x x)) x))> |
#<alt (* (* x (* x x)) x)> |
#<alt (* x (* x x))> |
#<alt (* (* x (* x (* x (+ (* 5 x) (* eps 10))))) eps)> |
#<alt (* x (* x (* x (+ (* 5 x) (* eps 10)))))> |
#<alt (* x (* x (+ (* 5 x) (* eps 10))))> |
#<alt (* x (+ (* 5 x) (* eps 10)))> |
#<alt (+ (* (* x (* x (* x x))) (* eps 5)) (* (* x (* (* x x) 10)) (* eps eps)))> |
#<alt (* x (* x (* x x)))> |
#<alt (* x x)> |
#<alt (+ (* 5 x) (* eps 10))> |
#<alt (* (* x x) 10)> |
#<alt (* (* x (* (* x x) 10)) (* eps eps))> |
#<alt (* x (* (* x x) 10))> |
| Outputs |
|---|
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))> |
#<alt (* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))> |
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x)))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))> |
#<alt (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))> |
#<alt (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))> |
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))> |
#<alt (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))> |
#<alt (* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))> |
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))> |
#<alt (* 5 (pow x 4))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))> |
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))> |
#<alt (* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))> |
#<alt (* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))> |
#<alt (* 5 (* (pow eps 3) x))> |
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))> |
#<alt (* 5 (pow x 3))> |
#<alt (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))> |
#<alt (+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))))> |
#<alt (+ (* 5 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))))> |
#<alt (* 5 (pow eps 3))> |
#<alt (* (pow eps 3) (+ 5 (* 10 (/ x eps))))> |
#<alt (* (pow eps 3) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))> |
#<alt (* (pow eps 3) (+ 5 (+ (* 5 (/ (pow x 3) (pow eps 3))) (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))))> |
#<alt (* 5 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5)))> |
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 10 x) (* 10 (/ (pow x 2) eps))) eps)) 5)))> |
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x)) eps)) 5)))> |
#<alt (* 5 (pow eps 3))> |
#<alt (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))> |
#<alt (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))> |
#<alt (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))> |
#<alt (* 5 (pow x 3))> |
#<alt (* (pow x 3) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))> |
#<alt (* (pow x 3) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))> |
#<alt (* 5 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))) x)) (* 10 eps)) x)) 5)))> |
#<alt (* 10 (* eps x))> |
#<alt (* eps (+ (* 5 eps) (* 10 x)))> |
#<alt (* eps (+ (* 5 eps) (* 10 x)))> |
#<alt (* eps (+ (* 5 eps) (* 10 x)))> |
#<alt (* 5 (pow eps 2))> |
#<alt (* (pow eps 2) (+ 5 (* 10 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 5 (* 10 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 5 (* 10 (/ x eps))))> |
#<alt (* 5 (pow eps 2))> |
#<alt (* (pow eps 2) (+ 5 (* 10 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 5 (* 10 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 5 (* 10 (/ x eps))))> |
#<alt (* 5 (pow eps 2))> |
#<alt (+ (* 5 (pow eps 2)) (* 10 (* eps x)))> |
#<alt (+ (* 5 (pow eps 2)) (* 10 (* eps x)))> |
#<alt (+ (* 5 (pow eps 2)) (* 10 (* eps x)))> |
#<alt (* 10 (* eps x))> |
#<alt (* x (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))> |
#<alt (* x (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))> |
#<alt (* x (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))> |
#<alt (* 10 (* eps x))> |
#<alt (* -1 (* x (+ (* -10 eps) (* -5 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -10 eps) (* -5 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -10 eps) (* -5 (/ (pow eps 2) x)))))> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (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)> |
#<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 (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))> |
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))> |
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (pow x 4))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (pow x 4))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))> |
#<alt (* 10 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 x) (* 10 eps)))> |
#<alt (* (pow x 2) (+ (* 5 x) (* 10 eps)))> |
#<alt (* (pow x 2) (+ (* 5 x) (* 10 eps)))> |
#<alt (* 5 (pow x 3))> |
#<alt (* (pow x 3) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 3) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 3) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5)))> |
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5)))> |
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5)))> |
#<alt (* 5 (pow x 3))> |
#<alt (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))> |
#<alt (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))> |
#<alt (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))> |
#<alt (* 10 (* eps (pow x 2)))> |
#<alt (* eps (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))> |
#<alt (* eps (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))> |
#<alt (* eps (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))> |
#<alt (* 10 (* eps (pow x 2)))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps)))))> |
#<alt (* 10 (* eps x))> |
#<alt (* x (+ (* 5 x) (* 10 eps)))> |
#<alt (* x (+ (* 5 x) (* 10 eps)))> |
#<alt (* x (+ (* 5 x) (* 10 eps)))> |
#<alt (* 5 (pow x 2))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (pow x 2))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* (pow x 2) (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 (pow x 2))> |
#<alt (+ (* 5 (pow x 2)) (* 10 (* eps x)))> |
#<alt (+ (* 5 (pow x 2)) (* 10 (* eps x)))> |
#<alt (+ (* 5 (pow x 2)) (* 10 (* eps x)))> |
#<alt (* 10 (* eps x))> |
#<alt (* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* 10 (* eps x))> |
#<alt (* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))> |
#<alt (* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<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)> |
#<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 (* 10 eps)> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (* 5 x)> |
#<alt (* x (+ 5 (* 10 (/ eps x))))> |
#<alt (* x (+ 5 (* 10 (/ eps x))))> |
#<alt (* x (+ 5 (* 10 (/ eps x))))> |
#<alt (* 5 x)> |
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))> |
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))> |
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))> |
#<alt (* 5 x)> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (+ (* 5 x) (* 10 eps))> |
#<alt (* 10 eps)> |
#<alt (* eps (+ 10 (* 5 (/ x eps))))> |
#<alt (* eps (+ 10 (* 5 (/ x eps))))> |
#<alt (* eps (+ 10 (* 5 (/ x eps))))> |
#<alt (* 10 eps)> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (pow x 2))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
#<alt (* 10 (pow x 3))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (* (* 5 (* (* x (* x x)) x)) eps) |
| 0.0ms | x | @ | -inf | (* (* x (* x (* x (+ (* 5 x) (* eps 10))))) eps) |
| 0.0ms | eps | @ | inf | (* (* 5 (* (* x (* x x)) x)) eps) |
| 0.0ms | x | @ | inf | (* (* 5 (* (* x (* x x)) x)) eps) |
| 0.0ms | x | @ | -inf | (* eps (* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10))))))) |
| 1× | batch-egg-rewrite |
| 9 454× | accelerator-lowering-fma.f32 |
| 9 454× | accelerator-lowering-fma.f64 |
| 6 092× | *-lowering-*.f32 |
| 6 092× | *-lowering-*.f64 |
| 3 156× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 224 |
| 1 | 160 | 206 |
| 2 | 1190 | 204 |
| 0 | 8198 | 188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps (* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10))))))) |
(* x (+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10)))))) |
(+ (* eps (* eps (+ (* 5 eps) (* 10 x)))) (* x (* x (+ (* 5 x) (* eps 10))))) |
(* eps (+ (* 5 eps) (* 10 x))) |
(* eps (* (* eps eps) (* eps eps))) |
(* (* eps eps) (* eps eps)) |
(* eps eps) |
(* (* 5 (* (* x (* x x)) x)) eps) |
(* 5 (* (* x (* x x)) x)) |
(* (* x (* x x)) x) |
(* x (* x x)) |
(* (* x (* x (* x (+ (* 5 x) (* eps 10))))) eps) |
(* x (* x (* x (+ (* 5 x) (* eps 10))))) |
(* x (* x (+ (* 5 x) (* eps 10)))) |
(* x (+ (* 5 x) (* eps 10))) |
(+ (* (* x (* x (* x x))) (* eps 5)) (* (* x (* (* x x) 10)) (* eps eps))) |
(* x (* x (* x x))) |
(* x x) |
(+ (* 5 x) (* eps 10)) |
(* (* x x) 10) |
(* (* x (* (* x x) 10)) (* eps eps)) |
(* x (* (* x x) 10)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))))) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(+.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(+.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))))) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(+.f64 (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)) eps) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x)) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(fma.f64 eps (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(fma.f64 eps (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 eps (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(fma.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(fma.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(fma.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 eps x) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 eps x) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 eps x) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) eps (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) eps (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) eps (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(fma.f64 (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)) eps (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(fma.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(fma.f64 (*.f64 eps x) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(fma.f64 (*.f64 eps x) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 eps x) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) x (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) x (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))) x (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(fma.f64 (*.f64 eps (*.f64 x x)) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) x)))) |
(fma.f64 (*.f64 eps (*.f64 x x)) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 eps (*.f64 x x)) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps x))) |
(/.f64 (*.f64 eps x) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))))) (*.f64 (*.f64 eps x) (fma.f64 (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps (*.f64 (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) (*.f64 (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))))))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 15625 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1000000 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 15625 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1000000 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))))) (fma.f64 (*.f64 eps #s(literal 10 binary64)) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 15625 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1000000 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (*.f64 #s(literal -1000 binary64) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (*.f64 eps #s(literal 10 binary64)) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 15625 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1000000 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 625 binary64) (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 625 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 10000 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 eps #s(literal 10 binary64)) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps eps) #s(literal -100 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 100 binary64) (*.f64 #s(literal -25 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps #s(literal 10 binary64)) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 100 binary64) (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x #s(literal -10 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps eps) #s(literal -100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 eps #s(literal 10 binary64)) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps eps) #s(literal -100 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal 100 binary64) (*.f64 #s(literal -25 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))))) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 10 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
(*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)) eps) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))) x) |
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 10 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) x) |
| 1× | egg-herbie |
| 17 320× | accelerator-lowering-fma.f32 |
| 17 320× | accelerator-lowering-fma.f64 |
| 6 432× | *-lowering-*.f32 |
| 6 432× | *-lowering-*.f64 |
| 4 074× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 3893 |
| 1 | 1074 | 3829 |
| 2 | 3468 | 3756 |
| 3 | 7597 | 3756 |
| 0 | 8132 | 3546 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(* 5 (pow x 3)) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))) |
(* 5 (pow eps 3)) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ 5 (+ (* 5 (/ (pow x 3) (pow eps 3))) (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))) |
(* 5 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 10 x) (* 10 (/ (pow x 2) eps))) eps)) 5))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x)) eps)) 5))) |
(* 5 (pow eps 3)) |
(+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))) |
(+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))) |
(+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 3) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))) x)) (* 10 eps)) x)) 5))) |
(* 10 (* eps x)) |
(* eps (+ (* 5 eps) (* 10 x))) |
(* eps (+ (* 5 eps) (* 10 x))) |
(* eps (+ (* 5 eps) (* 10 x))) |
(* 5 (pow eps 2)) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* 5 (pow eps 2)) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* 5 (pow eps 2)) |
(+ (* 5 (pow eps 2)) (* 10 (* eps x))) |
(+ (* 5 (pow eps 2)) (* 10 (* eps x))) |
(+ (* 5 (pow eps 2)) (* 10 (* eps x))) |
(* 10 (* eps x)) |
(* x (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* x (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* x (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* 10 (* eps x)) |
(* -1 (* x (+ (* -10 eps) (* -5 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -10 eps) (* -5 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -10 eps) (* -5 (/ (pow eps 2) x))))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (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) |
(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) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 x) (* 10 eps))) |
(* (pow x 2) (+ (* 5 x) (* 10 eps))) |
(* (pow x 2) (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* 5 (pow x 3)) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(* 10 (* eps (pow x 2))) |
(* eps (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (* eps (pow x 2))) |
(* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))))) |
(* 10 (* eps x)) |
(* x (+ (* 5 x) (* 10 eps))) |
(* x (+ (* 5 x) (* 10 eps))) |
(* x (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 2)) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(* 10 (* eps x)) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (* eps x)) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(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 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) |
(* 10 eps) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* 5 x) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* 5 x) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(* 10 eps) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* 10 eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
| Outputs |
|---|
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 eps (*.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 eps x) (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x eps))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x))))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x eps))))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x (fma.f64 x (/.f64 x eps) x))) eps))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 x (*.f64 x #s(literal -10 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))) eps)) (-.f64 #s(literal 0 binary64) eps))) (-.f64 #s(literal 0 binary64) eps)))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(*.f64 x (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x) (*.f64 #s(literal 5 binary64) eps))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 eps x) eps)) (*.f64 #s(literal 5 binary64) eps))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 5 binary64) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 eps x) eps))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x) (*.f64 #s(literal 5 binary64) eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))) x))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 0 binary64) x))) x))) |
(* 5 (* (pow eps 3) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
(* 5 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)))) |
(* 5 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 eps (/.f64 eps x) eps) (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))) x)) x)) x))) |
(* 5 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(fma.f64 eps (*.f64 (*.f64 eps x) (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
(* 5 (* (pow eps 3) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x eps)))) (*.f64 eps (*.f64 eps eps))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x)))) (*.f64 eps (*.f64 eps eps))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 10 binary64) (*.f64 (/.f64 x eps) (fma.f64 x (/.f64 x eps) x))))) |
(* 5 (* (pow eps 3) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x eps)))) (*.f64 eps (*.f64 eps eps))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (fma.f64 x (/.f64 x eps) x)) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal -5 binary64) (-.f64 #s(literal 0 binary64) x)))) |
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(pow x 4) |
(*.f64 (*.f64 x (*.f64 x 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) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
Compiled 43 567 to 2 977 computations (93.2% saved)
22 alts after pruning (15 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 342 | 6 | 1 348 |
| Fresh | 5 | 9 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 348 | 22 | 1 370 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 82.0% | (pow.f64 eps #s(literal 5 binary64)) |
| 79.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) | |
| ✓ | 83.4% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 80.0% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 82.2% | (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) | |
| 83.4% | (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) | |
| 83.3% | (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) | |
| 83.4% | (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) | |
| ✓ | 83.7% | (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
| 83.4% | (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) | |
| 40.3% | (*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))))) | |
| 82.4% | (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) | |
| 82.2% | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) | |
| 81.9% | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) | |
| ✓ | 83.4% | (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
| 82.4% | (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) | |
| 83.9% | (*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) | |
| ✓ | 82.0% | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
| ✓ | 81.9% | (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
| 83.9% | (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) | |
| ✓ | 83.9% | (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
| 83.9% | (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 100 binary64) (*.f64 #s(literal -25 binary64) (*.f64 x x))) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))))))))) |
Compiled 1 163 to 403 computations (65.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 100 binary64) (*.f64 #s(literal -25 binary64) (*.f64 x x))) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 (*.f64 x x) #s(literal 25 binary64) #s(literal 0 binary64))) x) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
3 calls:
| 39.0ms | eps |
| 12.0ms | x |
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
| 97.9% | 3 | eps |
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 100 binary64) (*.f64 #s(literal -25 binary64) (*.f64 x x))) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 (*.f64 x x) #s(literal 25 binary64) #s(literal 0 binary64))) x) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))))) |
| Outputs |
|---|
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 100 binary64) (*.f64 #s(literal -25 binary64) (*.f64 x x))) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 (*.f64 x x) #s(literal 25 binary64) #s(literal 0 binary64))) x) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 100 binary64) (*.f64 #s(literal -25 binary64) (*.f64 x x))) (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal -5 binary64))))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (fma.f64 (*.f64 x x) #s(literal 25 binary64) #s(literal 0 binary64))) x) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))))) |
| Outputs |
|---|
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) |
2 calls:
| 10.0ms | x |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.1% | 3 | x |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) eps) |
| Outputs |
|---|
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
(*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) |
| Outputs |
|---|
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (fma.f64 x #s(literal 5 binary64) #s(literal 0 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 0 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) x)))) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) eps) |
| Outputs |
|---|
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
| Outputs |
|---|
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
| Outputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
3 calls:
| 2.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 1 | eps |
| 82.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 82.0% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
3 calls:
| 1.0ms | eps |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 1 | x |
| 81.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 81.9% | 1 | eps |
Compiled 17 to 11 computations (35.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 25.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 29.0ms | 203× | 1 | valid |
| 2.0ms | 37× | 0 | valid |
Compiled 627 to 371 computations (40.8% saved)
ival-pow: 14.0ms (63.7% of total)adjust: 3.0ms (13.7% of total)ival-add: 2.0ms (9.1% of total)ival-sub: 2.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 40.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 25.0ms | 190× | 1 | valid |
| 3.0ms | 50× | 0 | valid |
Compiled 717 to 401 computations (44.1% saved)
ival-pow: 13.0ms (62.7% of total)adjust: 3.0ms (14.5% of total)ival-add: 2.0ms (9.6% of total)ival-sub: 2.0ms (9.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 22.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 47.0ms | 190× | 1 | valid |
| 3.0ms | 50× | 0 | valid |
Compiled 689 to 387 computations (43.8% saved)
ival-pow: 13.0ms (61.7% of total)adjust: 3.0ms (14.2% of total)ival-add: 2.0ms (9.5% of total)ival-sub: 2.0ms (9.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 28.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 32.0ms | 200× | 1 | valid |
| 3.0ms | 40× | 0 | valid |
Compiled 839 to 447 computations (46.7% saved)
ival-pow: 14.0ms (51% of total)ival-sub: 8.0ms (29.1% of total)adjust: 3.0ms (10.9% of total)ival-add: 2.0ms (7.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 46.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 50.0ms | 205× | 1 | valid |
| 2.0ms | 35× | 0 | valid |
Compiled 719 to 402 computations (44.1% saved)
ival-pow: 37.0ms (81.7% of total)adjust: 3.0ms (6.6% of total)ival-add: 3.0ms (6.6% of total)ival-sub: 2.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.7793128209874517e-59 | 6.817388826533448e-57 |
| 24.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 28.0ms | 201× | 1 | valid |
| 3.0ms | 39× | 0 | valid |
Compiled 674 to 387 computations (42.6% saved)
ival-pow: 15.0ms (66.1% of total)adjust: 3.0ms (13.2% of total)ival-add: 3.0ms (13.2% of total)ival-sub: 2.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.7793128209874517e-59 | 6.817388826533448e-57 |
| 24.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 27.0ms | 191× | 1 | valid |
| 3.0ms | 49× | 0 | valid |
Compiled 645 to 388 computations (39.8% saved)
ival-pow: 15.0ms (64.7% of total)adjust: 3.0ms (12.9% of total)ival-add: 2.0ms (8.6% of total)ival-sub: 2.0ms (8.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.7793128209874517e-59 | 6.817388826533448e-57 |
| 24.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 27.0ms | 193× | 1 | valid |
| 3.0ms | 47× | 0 | valid |
Compiled 629 to 372 computations (40.9% saved)
ival-pow: 13.0ms (60.7% of total)adjust: 3.0ms (14% of total)ival-add: 2.0ms (9.3% of total)ival-sub: 2.0ms (9.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 25.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 30.0ms | 204× | 1 | valid |
| 2.0ms | 36× | 0 | valid |
Compiled 569 to 342 computations (39.9% saved)
ival-pow: 16.0ms (65.1% of total)adjust: 3.0ms (12.2% of total)ival-add: 3.0ms (12.2% of total)ival-sub: 2.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 98.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 102.0ms | 200× | 1 | valid |
| 3.0ms | 40× | 0 | valid |
Compiled 494 to 312 computations (36.8% saved)
ival-pow: 89.0ms (91.9% of total)adjust: 3.0ms (3.1% of total)ival-add: 2.0ms (2.1% of total)ival-sub: 2.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 23.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 27.0ms | 193× | 1 | valid |
| 3.0ms | 47× | 0 | valid |
Compiled 449 to 282 computations (37.2% saved)
ival-pow: 13.0ms (57.5% of total)adjust: 3.0ms (13.3% of total)ival-sub: 3.0ms (13.3% of total)ival-add: 2.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 98.0ms | 1.8034577603466473e-51 | 5.230354242806181e-50 |
| 24.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 27.0ms | 194× | 1 | valid |
| 3.0ms | 46× | 0 | valid |
Compiled 449 to 282 computations (37.2% saved)
ival-pow: 13.0ms (57% of total)adjust: 5.0ms (21.9% of total)ival-add: 3.0ms (13.2% of total)ival-sub: 2.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.7793128209874517e-59 | 6.817388826533448e-57 |
| 34.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 25.0ms | 191× | 1 | valid |
| 3.0ms | 49× | 0 | valid |
Compiled 404 to 252 computations (37.6% saved)
ival-pow: 13.0ms (61.5% of total)adjust: 3.0ms (14.2% of total)ival-add: 2.0ms (9.5% of total)ival-sub: 2.0ms (9.5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3.7793128209874517e-59 | 6.817388826533448e-57 |
| 24.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 28.0ms | 199× | 1 | valid |
| 4.0ms | 41× | 0 | valid |
Compiled 404 to 252 computations (37.6% saved)
ival-pow: 14.0ms (60.9% of total)adjust: 5.0ms (21.7% of total)ival-add: 2.0ms (8.7% of total)ival-sub: 2.0ms (8.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.7793128209874517e-59 | 6.817388826533448e-57 |
| 23.0ms | -6.36265077104685e-46 | -3.825363948712427e-49 |
| 29.0ms | 194× | 1 | valid |
| 5.0ms | 46× | 0 | valid |
Compiled 404 to 252 computations (37.6% saved)
ival-pow: 18.0ms (69.5% of total)adjust: 3.0ms (11.6% of total)ival-add: 2.0ms (7.7% of total)ival-sub: 2.0ms (7.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 108× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 16× | if-if-or-not_binary32 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 738 |
| 1 | 246 | 738 |
| 2 | 266 | 738 |
| 3 | 278 | 738 |
| 4 | 285 | 738 |
| 5 | 287 | 738 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -5101064127695739/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 7582485000136117/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(if (<=.f64 x #s(literal -5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 6234487666778585/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(if (<=.f64 x #s(literal -7371860416799003/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 6234487666778585/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))))) |
(if (<=.f64 x #s(literal -4113761393303015/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) x))) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))))) |
(if (<=.f64 x #s(literal -5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 7582485000136117/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))))) |
(if (<=.f64 x #s(literal -4113761393303015/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 7774127085024891/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))))) |
(if (<=.f64 x #s(literal -5594715494892101/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) eps) (if (<=.f64 x #s(literal 795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) (*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -8021834716940879/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))) (if (<=.f64 x #s(literal 5300541194335153/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))))) (*.f64 eps (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -2828210957895823/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) (if (<=.f64 x #s(literal 6908486333457351/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
(if (<=.f64 x #s(literal -1799770609570069/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) (if (<=.f64 x #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
(if (<=.f64 x #s(literal -4113761393303015/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) (if (<=.f64 x #s(literal 2738119583382487/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps))) |
(if (<=.f64 x #s(literal -4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) (if (<=.f64 x #s(literal 5728988666769511/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps))) |
(if (<=.f64 x #s(literal -1799770609570069/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) (if (<=.f64 x #s(literal 4152090602229203/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) eps))) |
(if (<=.f64 x #s(literal -1382223828149813/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) (if (<=.f64 x #s(literal 7350083789478079/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))) (if (<=.f64 x #s(literal 5300541194335153/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -5101064127695739/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 7582485000136117/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(if (<=.f64 x #s(literal -5101064127695739/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 7582485000136117/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(if (<=.f64 x #s(literal -5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 6234487666778585/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(if (<=.f64 x #s(literal -5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 6234487666778585/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
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(if (<=.f64 x #s(literal -3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 5300541194335153/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
| 22 768× | accelerator-lowering-fma.f32 |
| 22 768× | accelerator-lowering-fma.f64 |
| 19 244× | accelerator-lowering-fma.f32 |
| 19 244× | accelerator-lowering-fma.f64 |
| 17 950× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 3893 |
| 1 | 1074 | 3829 |
| 2 | 3468 | 3756 |
| 3 | 7597 | 3756 |
| 0 | 8132 | 3546 |
| 0 | 278 | 3434 |
| 1 | 925 | 3345 |
| 2 | 2838 | 3187 |
| 3 | 5869 | 3180 |
| 0 | 8297 | 2963 |
| 0 | 337 | 4844 |
| 1 | 1155 | 4770 |
| 2 | 3648 | 4659 |
| 3 | 7726 | 4643 |
| 0 | 8279 | 4376 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 0 | 7 | 20 |
| 1 | 48 | 20 |
| 2 | 346 | 20 |
| 3 | 3542 | 20 |
| 0 | 9396 | 20 |
| 0 | 41 | 285 |
| 1 | 246 | 259 |
| 2 | 2188 | 253 |
| 0 | 8444 | 233 |
| 0 | 34 | 187 |
| 1 | 209 | 187 |
| 2 | 1814 | 187 |
| 0 | 8187 | 174 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 583 to 599 computations (62.2% saved)
Compiled 1 786 to 340 computations (81% saved)
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