
Time bar (total: 5.9s)
| 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 26 to 18 computations (30.8% saved)
ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-<=: 0.0ms (0% of total)ival-pow: 0.0ms (0% of total)| 549.0ms | 5119× | 0 | valid |
| 509.0ms | 2573× | 1 | valid |
| 186.0ms | 564× | 2 | valid |
ival-pow: 336.0ms (40.9% of total)ival-<=: 210.0ms (25.6% of total)ival-add: 93.0ms (11.3% of total)backward-pass: 73.0ms (8.9% of total)ival-sub: 60.0ms (7.3% of total)ival-and: 26.0ms (3.2% of total)const: 23.0ms (2.8% of total)| 2× | egg-herbie |
| 1988× | +-lowering-+.f64 |
| 1988× | +-lowering-+.f32 |
| 1748× | fmsub-define |
| 1742× | fma-lowering-fma.f32 |
| 1742× | fma-lowering-fma.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 64 |
| 1 | 51 | 56 |
| 2 | 172 | 50 |
| 3 | 698 | 40 |
| 4 | 4126 | 36 |
| 5 | 7934 | 36 |
| 0 | 7 | 9 |
| 1 | 12 | 9 |
| 2 | 34 | 8 |
| 3 | 112 | 8 |
| 4 | 511 | 6 |
| 5 | 1634 | 6 |
| 6 | 3534 | 6 |
| 0 | 8284 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(- (pow (+ x eps) 2) (pow x 2)) |
| Outputs |
|---|
(- (pow (+ x eps) 2) (pow x 2)) |
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| Inputs |
|---|
(- (pow (+ x eps) 2) (pow x 2)) |
(- (pow (+ (neg x) eps) 2) (pow (neg x) 2)) |
(- (pow (+ x (neg eps)) 2) (pow x 2)) |
(neg (- (pow (+ (neg x) eps) 2) (pow (neg x) 2))) |
(neg (- (pow (+ x (neg eps)) 2) (pow x 2))) |
(- (pow (+ eps x) 2) (pow eps 2)) |
| Outputs |
|---|
(- (pow (+ x eps) 2) (pow x 2)) |
(* eps (sum3 x eps x)) |
(- (pow (+ (neg x) eps) 2) (pow (neg x) 2)) |
(* eps (fma x -2 eps)) |
(- (pow (+ x (neg eps)) 2) (pow x 2)) |
(* eps (fma x -2 eps)) |
(neg (- (pow (+ (neg x) eps) 2) (pow (neg x) 2))) |
(* eps (fnmsub x -2 eps)) |
(neg (- (pow (+ x (neg eps)) 2) (pow x 2))) |
(* eps (fnmsub x -2 eps)) |
(- (pow (+ eps x) 2) (pow eps 2)) |
(* x (sum3 x eps eps)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 77 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 77 | (4.704267569903432e-307 1.5194414476616803e-42) | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | eps |
| 54.0ms | 180× | 1 | valid |
| 29.0ms | 298× | 0 | valid |
| 8.0ms | 34× | 2 | valid |
Compiled 63 to 23 computations (63.5% saved)
ival-pow: 17.0ms (51.7% of total)backward-pass: 6.0ms (18.2% of total)ival-add: 5.0ms (15.2% of total)ival-sub: 4.0ms (12.2% of total)const: 1.0ms (3% of total)Compiled 9 to 6 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 eps (*.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| 30× | *-lowering-*.f32 |
| 30× | *-lowering-*.f64 |
| 20× | fma-define |
| 18× | *-commutative |
| 18× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 14 | 16 |
| 2 | 28 | 16 |
| 3 | 40 | 16 |
| 0 | 40 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* eps (+ eps (* x 2))) |
eps |
(+ eps (* x 2)) |
(* x 2) |
x |
2 |
| Outputs |
|---|
(* eps (+ eps (* x 2))) |
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
eps |
(+ eps (* x 2)) |
(+.f64 eps (*.f64 x #s(literal 2 binary64))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 eps (*.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| 15.0ms | 256× | 0 | valid |
Compiled 21 to 7 computations (66.7% saved)
ival-mult: 4.0ms (67.5% of total)ival-add: 1.0ms (16.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* eps (+ eps (* x 2)))> |
#<alt (+ eps (* x 2))> |
#<alt (* x 2)> |
| Outputs |
|---|
#<alt (* 2 (* eps x))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (pow eps 2)> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (* 2 (* eps x))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* 2 (* eps x))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* 2 x)> |
#<alt (+ eps (* 2 x))> |
#<alt (+ eps (* 2 x))> |
#<alt (+ eps (* 2 x))> |
#<alt eps> |
#<alt (* eps (+ 1 (* 2 (/ x eps))))> |
#<alt (* eps (+ 1 (* 2 (/ x eps))))> |
#<alt (* eps (+ 1 (* 2 (/ x eps))))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))> |
#<alt eps> |
#<alt (+ eps (* 2 x))> |
#<alt (+ eps (* 2 x))> |
#<alt (+ eps (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (/ eps x)))> |
#<alt (* x (+ 2 (/ eps x)))> |
#<alt (* x (+ 2 (/ eps x)))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | (* eps (+ eps (* x 2))) |
| 1.0ms | x | @ | 0 | (* eps (+ eps (* x 2))) |
| 0.0ms | eps | @ | inf | (* eps (+ eps (* x 2))) |
| 0.0ms | eps | @ | 0 | (* eps (+ eps (* x 2))) |
| 0.0ms | x | @ | inf | (* eps (+ eps (* x 2))) |
| 1× | batch-egg-rewrite |
| 3084× | *-lowering-*.f32 |
| 3084× | *-lowering-*.f64 |
| 2746× | /-lowering-/.f32 |
| 2746× | /-lowering-/.f64 |
| 1486× | sum5-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 25 | 13 |
| 2 | 213 | 13 |
| 3 | 2257 | 13 |
| 0 | 9046 | 13 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps (+ eps (* x 2))) |
(+ eps (* x 2)) |
(* x 2) |
| Outputs |
|---|
(+.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)) |
(-.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 4 binary64))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))) |
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) |
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps)) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 eps eps)) |
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))))) |
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))) |
(/.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) eps) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))) (neg.f64 (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))))) |
(/.f64 (neg.f64 (*.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 4 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))))) |
(/.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) eps) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) eps) (-.f64 #s(literal 0 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps eps)) eps) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (neg.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))))) (neg.f64 (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))))) (neg.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 eps (*.f64 eps eps))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))))) (neg.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) (pow.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps eps))) #s(literal -1 binary64)) |
(*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))))) |
(*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))))) |
(*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))))) |
(*.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(*.f64 (/.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))))) (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) (-.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) (*.f64 eps eps))))) |
(*.f64 (/.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 (/.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 eps (*.f64 eps eps))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x))) |
| 1× | egg-herbie |
| 1886× | fnmsub-define |
| 1856× | sum4-define |
| 1704× | fma-lowering-fma.f32 |
| 1704× | fmm-def |
| 1704× | fma-lowering-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 288 |
| 1 | 128 | 252 |
| 2 | 331 | 252 |
| 3 | 870 | 252 |
| 4 | 2492 | 252 |
| 5 | 6116 | 252 |
| 0 | 8495 | 252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 x) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
eps |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
eps |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
eps |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(* 2 x) |
(* x (+ 2 (/ eps x))) |
(* x (+ 2 (/ eps x))) |
(* x (+ 2 (/ eps x))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(* 2 (* eps x)) |
(*.f64 #s(literal 2 binary64) (*.f64 eps x)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* 2 (* eps x)) |
(*.f64 #s(literal 2 binary64) (*.f64 eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* 2 (* eps x)) |
(*.f64 #s(literal 2 binary64) (*.f64 eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
eps |
(* eps (+ 1 (* 2 (/ x eps)))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
eps |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
eps |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (/ eps x))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ 2 (/ eps x))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ 2 (/ eps x))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
Compiled 7360 to 677 computations (90.8% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 4 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 251 | 5 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 99.8% | (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 100.0% | (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ▶ | 63.9% | (*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
| ▶ | 71.0% | (*.f64 eps eps) |
Compiled 51 to 34 computations (33.3% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 eps (*.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| 1792× | *-lowering-*.f32 |
| 1792× | *-lowering-*.f64 |
| 1712× | sum4-define |
| 1526× | fma-define |
| 1368× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 95 |
| 1 | 42 | 91 |
| 2 | 84 | 88 |
| 3 | 169 | 88 |
| 4 | 270 | 88 |
| 5 | 579 | 88 |
| 6 | 1783 | 88 |
| 7 | 4459 | 88 |
| 8 | 7441 | 88 |
| 0 | 8049 | 88 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps eps) |
eps |
(* eps (* 2 x)) |
eps |
(* 2 x) |
2 |
x |
(* (+ (* eps eps) (* (* x x) -4)) (/ eps (- eps (* x 2)))) |
(+ (* eps eps) (* (* x x) -4)) |
(* eps eps) |
eps |
(* (* x x) -4) |
(* x x) |
x |
-4 |
(/ eps (- eps (* x 2))) |
(- eps (* x 2)) |
(* x 2) |
2 |
(/ eps (/ 1 (+ eps (* x 2)))) |
eps |
(/ 1 (+ eps (* x 2))) |
1 |
(+ eps (* x 2)) |
(* x 2) |
x |
2 |
| Outputs |
|---|
(* eps eps) |
(*.f64 eps eps) |
eps |
(* eps (* 2 x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
eps |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(* (+ (* eps eps) (* (* x x) -4)) (/ eps (- eps (* x 2)))) |
(*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))) |
(+ (* eps eps) (* (* x x) -4)) |
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) |
(* eps eps) |
(*.f64 eps eps) |
eps |
(* (* x x) -4) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* x x) |
(*.f64 x x) |
x |
-4 |
#s(literal -4 binary64) |
(/ eps (- eps (* x 2))) |
(/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) |
(- eps (* x 2)) |
(+.f64 eps (*.f64 x #s(literal -2 binary64))) |
(* x 2) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
(/ eps (/ 1 (+ eps (* x 2)))) |
(*.f64 eps (-.f64 eps (*.f64 x #s(literal -2 binary64)))) |
eps |
(/ 1 (+ eps (* x 2))) |
(/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal -2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ eps (* x 2)) |
(-.f64 eps (*.f64 x #s(literal -2 binary64))) |
(* x 2) |
(*.f64 #s(literal 2 binary64) x) |
x |
2 |
#s(literal 2 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 eps (*.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) #s(literal -4 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| 76.0ms | 256× | 0 | valid |
Compiled 102 to 19 computations (81.4% saved)
ival-mult: 12.0ms (48.9% of total)ival-div: 8.0ms (32.6% of total)ival-add: 2.0ms (8.2% of total)ival-sub: 1.0ms (4.1% of total)const: 1.0ms (4.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* eps eps)> |
#<alt (* eps (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* (+ (* eps eps) (* (* x x) -4)) (/ eps (- eps (* x 2))))> |
#<alt (+ (* eps eps) (* (* x x) -4))> |
#<alt (* (* x x) -4)> |
#<alt (/ eps (/ 1 (+ eps (* x 2))))> |
#<alt (/ 1 (+ eps (* x 2)))> |
#<alt (+ eps (* x 2))> |
#<alt (* x 2)> |
#<alt (/ eps (- eps (* x 2)))> |
| Outputs |
|---|
#<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 (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 (* eps x))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (pow eps 2)> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (* 2 (* eps x))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* 2 (* eps x))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -4 (pow x 2))> |
#<alt (+ (* -4 (pow x 2)) (pow eps 2))> |
#<alt (+ (* -4 (pow x 2)) (pow eps 2))> |
#<alt (+ (* -4 (pow x 2)) (pow eps 2))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))> |
#<alt (pow eps 2)> |
#<alt (+ (* -4 (pow x 2)) (pow eps 2))> |
#<alt (+ (* -4 (pow x 2)) (pow eps 2))> |
#<alt (+ (* -4 (pow x 2)) (pow eps 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4))> |
#<alt (* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4))> |
#<alt (* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4))> |
#<alt (* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4))> |
#<alt (* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* 2 (* eps x))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (pow eps 2)> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (* 2 (* eps x))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* 2 (* eps x))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x)))> |
#<alt (+ (* eps (- (* 1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))> |
#<alt (+ (* eps (- (* eps (+ (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))> |
#<alt (/ 1 eps)> |
#<alt (/ (+ 1 (* -2 (/ x eps))) eps)> |
#<alt (/ (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))) eps)> |
#<alt (/ (- (+ 1 (* -8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* 2 (/ x eps)))) eps)> |
#<alt (/ 1 eps)> |
#<alt (* -1 (/ (- (* 2 (/ x eps)) 1) eps))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 2) eps)) (* 2 x)) eps)) 1) eps))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* 4 (pow x 2))) eps)) (* 2 x)) eps)) 1) eps))> |
#<alt (/ 1 eps)> |
#<alt (+ (* -2 (/ x (pow eps 2))) (/ 1 eps))> |
#<alt (+ (* x (- (* 4 (/ x (pow eps 3))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps))> |
#<alt (+ (* x (- (* x (+ (* -8 (/ x (pow eps 4))) (* 4 (/ 1 (pow eps 3))))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* -1/4 (/ eps x))) x)> |
#<alt (/ (- (+ 1/2 (* 1/8 (/ (pow eps 2) (pow x 2)))) (* 1/4 (/ eps x))) x)> |
#<alt (/ (- (+ 1/2 (* -1/16 (/ (pow eps 3) (pow x 3)))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))) x)> |
#<alt (/ 1/2 x)> |
#<alt (* -1 (/ (- (* 1/4 (/ eps x)) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow eps 2) x)) (* 1/4 eps)) x)) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 3) x)) (* 1/8 (pow eps 2))) x)) (* 1/4 eps)) x)) 1/2) x))> |
#<alt (* 2 x)> |
#<alt (+ eps (* 2 x))> |
#<alt (+ eps (* 2 x))> |
#<alt (+ eps (* 2 x))> |
#<alt eps> |
#<alt (* eps (+ 1 (* 2 (/ x eps))))> |
#<alt (* eps (+ 1 (* 2 (/ x eps))))> |
#<alt (* eps (+ 1 (* 2 (/ x eps))))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))> |
#<alt eps> |
#<alt (+ eps (* 2 x))> |
#<alt (+ eps (* 2 x))> |
#<alt (+ eps (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (/ eps x)))> |
#<alt (* x (+ 2 (/ eps x)))> |
#<alt (* x (+ 2 (/ eps x)))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* eps (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* eps (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))> |
#<alt (* eps (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ x eps)))> |
#<alt (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps)))> |
#<alt (- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ x eps)))> |
#<alt (+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps)))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ x eps)))> |
#<alt (+ 1 (* x (+ (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps)))))> |
#<alt (+ 1 (* x (+ (* x (+ (* 8 (/ x (pow eps 3))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (/ (+ (* -1/2 eps) (* -1/4 (/ (pow eps 2) x))) x)> |
#<alt (/ (- (+ (* -1/2 eps) (* -1/8 (/ (pow eps 3) (pow x 2)))) (* 1/4 (/ (pow eps 2) x))) x)> |
#<alt (/ (- (+ (* -1/2 eps) (* -1/16 (/ (pow eps 4) (pow x 3)))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (/ (pow eps 2) x)))) x)> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1 (/ (+ (* 1/4 (/ (pow eps 2) x)) (* 1/2 eps)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 3) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 4) x)) (* -1/8 (pow eps 3))) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | inf | (/ eps (- eps (* x 2))) |
| 2.0ms | eps | @ | inf | (* (+ (* eps eps) (* (* x x) -4)) (/ eps (- eps (* x 2)))) |
| 1.0ms | eps | @ | 0 | (* (+ (* eps eps) (* (* x x) -4)) (/ eps (- eps (* x 2)))) |
| 1.0ms | eps | @ | 0 | (* eps eps) |
| 1.0ms | x | @ | inf | (* (+ (* eps eps) (* (* x x) -4)) (/ eps (- eps (* x 2)))) |
| 1× | batch-egg-rewrite |
| 4680× | *-lowering-*.f32 |
| 4680× | *-lowering-*.f64 |
| 3084× | /-lowering-/.f32 |
| 3084× | /-lowering-/.f64 |
| 1708× | frac-times |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 1 | 92 | 75 |
| 2 | 747 | 54 |
| 0 | 9192 | 54 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps eps) |
(* eps (* 2 x)) |
(* 2 x) |
(* (+ (* eps eps) (* (* x x) -4)) (/ eps (- eps (* x 2)))) |
(+ (* eps eps) (* (* x x) -4)) |
(* (* x x) -4) |
(/ eps (/ 1 (+ eps (* x 2)))) |
(/ 1 (+ eps (* x 2))) |
(+ eps (* x 2)) |
(* x 2) |
(/ eps (- eps (* x 2))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps))) |
(/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(/.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) eps)) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64)) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (*.f64 x eps)) |
(*.f64 x (*.f64 eps #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) eps) |
(*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 eps #s(literal 2 binary64)) x) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x eps) #s(literal 2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) |
(+.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 eps eps)) |
(+.f64 (*.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 eps eps)) (*.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal -4 binary64))))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (*.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 eps eps))) |
(+.f64 (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) eps))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 x #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) |
(+.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1 binary64) (*.f64 eps eps))) |
(+.f64 (*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 eps eps)) (*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 (*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 eps eps))) |
(+.f64 (*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(+.f64 (*.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))) eps) (*.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) x))) |
(+.f64 (*.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))) eps)) |
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 (*.f64 eps (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))) (*.f64 eps (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (-.f64 (*.f64 x #s(literal -2 binary64)) eps))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x)) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -2 binary64)) eps))) (*.f64 eps (-.f64 (*.f64 x #s(literal -2 binary64)) eps))) |
(fma.f64 eps eps (*.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 eps eps)) |
(fma.f64 (*.f64 eps eps) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 eps eps)) |
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps eps)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)) |
(fma.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 eps eps) (*.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal -4 binary64))))) |
(fma.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 eps eps))) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps)) |
(neg.f64 (*.f64 eps (-.f64 (*.f64 x #s(literal -2 binary64)) eps))) |
(neg.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) |
(neg.f64 (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(neg.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 x #s(literal -2 binary64)) eps)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -2 binary64)) eps)) #s(literal -1 binary64))) |
(/.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) (+.f64 eps (*.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64)))) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64)))) (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -16 binary64))) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -16 binary64))) (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))))) (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -16 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))))) (*.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -16 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) |
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(+.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) eps)) |
(+.f64 (*.f64 (*.f64 eps eps) (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (*.f64 (*.f64 eps eps) (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))))) |
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (*.f64 eps (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(neg.f64 (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) |
(/.f64 eps (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) eps)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(/.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) #s(literal 1 binary64))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 2 binary64))))))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) |
(/.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 x #s(literal -2 binary64)) eps)) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 eps eps)))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) (*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) #s(literal -1 binary64)) |
(*.f64 eps (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(*.f64 (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) eps) |
(*.f64 (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(*.f64 (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) |
(*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(*.f64 (/.f64 eps (/.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64)) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) #s(literal -1 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) eps)) |
(*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(*.f64 (*.f64 (/.f64 eps (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
| 1× | egg-herbie |
| 5088× | *-lowering-*.f32 |
| 5088× | *-lowering-*.f64 |
| 1930× | /-lowering-/.f32 |
| 1930× | /-lowering-/.f64 |
| 1754× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 1746 |
| 1 | 897 | 1662 |
| 2 | 2526 | 1608 |
| 0 | 8376 | 1608 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -4 (pow x 2)) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(pow eps 2) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(/ 1/2 x) |
(+ (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))) |
(+ (* eps (- (* 1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))) |
(+ (* eps (- (* eps (+ (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))) |
(/ 1 eps) |
(/ (+ 1 (* -2 (/ x eps))) eps) |
(/ (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))) eps) |
(/ (- (+ 1 (* -8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* 2 (/ x eps)))) eps) |
(/ 1 eps) |
(* -1 (/ (- (* 2 (/ x eps)) 1) eps)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 2) eps)) (* 2 x)) eps)) 1) eps)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* 4 (pow x 2))) eps)) (* 2 x)) eps)) 1) eps)) |
(/ 1 eps) |
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps)) |
(+ (* x (- (* 4 (/ x (pow eps 3))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps)) |
(+ (* x (- (* x (+ (* -8 (/ x (pow eps 4))) (* 4 (/ 1 (pow eps 3))))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps)) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/4 (/ eps x))) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow eps 2) (pow x 2)))) (* 1/4 (/ eps x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow eps 3) (pow x 3)))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))) x) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/4 (/ eps x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow eps 2) x)) (* 1/4 eps)) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 3) x)) (* 1/8 (pow eps 2))) x)) (* 1/4 eps)) x)) 1/2) x)) |
(* 2 x) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
eps |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
eps |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
eps |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(* 2 x) |
(* x (+ 2 (/ eps x))) |
(* x (+ 2 (/ eps x))) |
(* x (+ 2 (/ eps x))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -1/2 (/ eps x)) |
(* eps (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x)))) |
(* eps (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) |
(* eps (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) |
1 |
(+ 1 (* 2 (/ x eps))) |
(- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))) |
(- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))) |
1 |
(+ 1 (* 2 (/ x eps))) |
(+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))) |
1 |
(+ 1 (* 2 (/ x eps))) |
(+ 1 (* x (+ (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps))))) |
(+ 1 (* x (+ (* x (+ (* 8 (/ x (pow eps 3))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps))))) |
(* -1/2 (/ eps x)) |
(/ (+ (* -1/2 eps) (* -1/4 (/ (pow eps 2) x))) x) |
(/ (- (+ (* -1/2 eps) (* -1/8 (/ (pow eps 3) (pow x 2)))) (* 1/4 (/ (pow eps 2) x))) x) |
(/ (- (+ (* -1/2 eps) (* -1/16 (/ (pow eps 4) (pow x 3)))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (/ (pow eps 2) x)))) x) |
(* -1/2 (/ eps x)) |
(* -1 (/ (+ (* 1/4 (/ (pow eps 2) x)) (* 1/2 eps)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 3) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 4) x)) (* -1/8 (pow eps 3))) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x)) |
| Outputs |
|---|
(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) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (+ 1 (* -4 (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) |
(+ (* -4 (pow x 2)) (pow eps 2)) |
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal -4 binary64)))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 eps eps) x) x)))) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 eps eps) x) x)))) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 eps eps) x) x)))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 eps eps) x) x)))) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 eps eps) x) x)))) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 4)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 eps eps) x) x)))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps #s(literal -1/4 binary64)) x)) x) |
(+ (* eps (- (* 1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))) |
(+.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps #s(literal -1/4 binary64)) x)) x)) |
(+ (* eps (- (* eps (+ (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 eps #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps #s(literal -1/4 binary64)) x)) x)) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ (+ 1 (* -2 (/ x eps))) eps) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps) |
(/ (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))) eps) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) eps) (*.f64 x #s(literal -2 binary64))) eps)) eps) |
(/ (- (+ 1 (* -8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* 2 (/ x eps)))) eps) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) (*.f64 eps (*.f64 eps eps)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) eps) (*.f64 x #s(literal -2 binary64))) eps)) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(* -1 (/ (- (* 2 (/ x eps)) 1) eps)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 2) eps)) (* 2 x)) eps)) 1) eps)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) eps) (*.f64 x #s(literal -2 binary64))) eps)) eps) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* 4 (pow x 2))) eps)) (* 2 x)) eps)) 1) eps)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 8 binary64)))) eps)) eps)) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps) |
(+ (* x (- (* 4 (/ x (pow eps 3))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 x eps) eps)) eps)))) |
(+ (* x (- (* x (+ (* -8 (/ x (pow eps 4))) (* 4 (/ 1 (pow eps 3))))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -8 binary64)) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) eps) (*.f64 eps eps)))) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* -1/4 (/ eps x))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps #s(literal -1/4 binary64)) x)) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow eps 2) (pow x 2)))) (* 1/4 (/ eps x))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 1/8 binary64))) x) (*.f64 eps #s(literal -1/4 binary64))) x)) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow eps 3) (pow x 3)))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/16 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 1/8 binary64))) x) (*.f64 eps #s(literal -1/4 binary64))) x))) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (- (* 1/4 (/ eps x)) 1/2) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps #s(literal -1/4 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow eps 2) x)) (* 1/4 eps)) x)) 1/2) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 (*.f64 eps (*.f64 eps #s(literal -1/8 binary64))) x)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 3) x)) (* 1/8 (pow eps 2))) x)) (* 1/4 eps)) x)) 1/2) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/8 binary64))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/16 binary64)))) x)) x) (*.f64 eps #s(literal -1/4 binary64))) x)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
eps |
(* eps (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
eps |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
eps |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ eps (* 2 x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) |
(* x (+ 2 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) |
(* x (+ 2 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (/.f64 eps x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (/.f64 eps x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (/.f64 eps x)))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* eps (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 eps (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))) |
(* eps (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) |
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 (*.f64 eps (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) (/.f64 #s(literal -1/2 binary64) x))) |
(* eps (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) |
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 eps #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ x eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) eps)) eps)) |
(- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (*.f64 x (+.f64 (/.f64 (*.f64 x (/.f64 (/.f64 #s(literal 8 binary64) eps) eps)) eps) (/.f64 #s(literal 4 binary64) (*.f64 eps eps))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ x eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) eps)) eps)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 8 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))) eps)) eps)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ x eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(+ 1 (* x (+ (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) eps)) eps)) |
(+ 1 (* x (+ (* x (+ (* 8 (/ x (pow eps 3))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (*.f64 x (+.f64 (/.f64 (*.f64 x (/.f64 (/.f64 #s(literal 8 binary64) eps) eps)) eps) (/.f64 #s(literal 4 binary64) (*.f64 eps eps))))))) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(/ (+ (* -1/2 eps) (* -1/4 (/ (pow eps 2) x))) x) |
(/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -1/4 binary64)) x)) x) |
(/ (- (+ (* -1/2 eps) (* -1/8 (/ (pow eps 3) (pow x 2)))) (* 1/4 (/ (pow eps 2) x))) x) |
(/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/8 binary64)))) x) (*.f64 (*.f64 eps eps) #s(literal -1/4 binary64))) x)) x) |
(/ (- (+ (* -1/2 eps) (* -1/16 (/ (pow eps 4) (pow x 3)))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (/ (pow eps 2) x)))) x) |
(/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/8 binary64)))) x) (*.f64 (*.f64 eps eps) #s(literal -1/4 binary64))) x)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1 (/ (+ (* 1/4 (/ (pow eps 2) x)) (* 1/2 eps)) x)) |
(/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -1/4 binary64)) x)) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 3) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x)) |
(/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 eps (/.f64 (*.f64 eps eps) x)))) (-.f64 #s(literal 0 binary64) x))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 4) x)) (* -1/8 (pow eps 3))) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x)) |
(/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/4 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/8 binary64))))) x)) x)) x) |
Compiled 35097 to 2209 computations (93.7% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1173 | 3 | 1176 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 1174 | 7 | 1181 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 70.8% | (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
| ▶ | 64.2% | (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 99.8% | (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
| ✓ | 100.0% | (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ✓ | 63.9% | (*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
| ✓ | 71.0% | (*.f64 eps eps) |
Compiled 65 to 44 computations (32.3% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) eps) |
| ✓ | cost-diff | 128 | (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
| ✓ | cost-diff | 0 | (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -4 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 eps x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (/.f64 eps x)) |
| ✓ | cost-diff | 0 | (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) |
| ✓ | cost-diff | 128 | (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
| 3332× | *-lowering-*.f32 |
| 3332× | *-lowering-*.f64 |
| 1940× | sum3-define |
| 1744× | /-lowering-/.f32 |
| 1744× | /-lowering-/.f64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 75 |
| 1 | 48 | 74 |
| 2 | 121 | 71 |
| 3 | 238 | 71 |
| 4 | 334 | 70 |
| 5 | 742 | 68 |
| 6 | 2296 | 67 |
| 7 | 4048 | 67 |
| 0 | 8831 | 67 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* eps (+ 2 (/ eps x)))) |
x |
(* eps (+ 2 (/ eps x))) |
eps |
(+ 2 (/ eps x)) |
2 |
(/ eps x) |
(* (* x (* x -4)) (/ eps (- eps (* x 2)))) |
(* x (* x -4)) |
x |
(* x -4) |
-4 |
(/ eps (- eps (* x 2))) |
eps |
(- eps (* x 2)) |
(* x 2) |
2 |
(/ eps (/ 1 eps)) |
eps |
(/ 1 eps) |
1 |
| Outputs |
|---|
(* x (* eps (+ 2 (/ eps x)))) |
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
x |
(* eps (+ 2 (/ eps x))) |
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) |
eps |
(+ 2 (/ eps x)) |
(+.f64 #s(literal 2 binary64) (/.f64 eps x)) |
2 |
#s(literal 2 binary64) |
(/ eps x) |
(/.f64 eps x) |
(* (* x (* x -4)) (/ eps (- eps (* x 2)))) |
(*.f64 x (*.f64 eps (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 eps x) #s(literal -2 binary64))))) |
(* x (* x -4)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
x |
(* x -4) |
(*.f64 x #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(/ eps (- eps (* x 2))) |
(/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) |
eps |
(- eps (* x 2)) |
(-.f64 eps (*.f64 x #s(literal 2 binary64))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ eps (/ 1 eps)) |
(*.f64 eps eps) |
eps |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
1 |
#s(literal 1 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) eps) |
| ✓ | accuracy | 99.8% | (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -4 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 eps x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2 binary64) (/.f64 eps x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) |
| 45.0ms | 256× | 0 | valid |
Compiled 80 to 18 computations (77.5% saved)
ival-div: 10.0ms (43.4% of total)ival-mult: 9.0ms (39.1% of total)ival-sub: 1.0ms (4.3% of total)ival-add: 1.0ms (4.3% of total)const: 1.0ms (4.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* eps (+ 2 (/ eps x))))> |
#<alt (* eps (+ 2 (/ eps x)))> |
#<alt (+ 2 (/ eps x))> |
#<alt (/ eps x)> |
#<alt (* (* x (* x -4)) (/ eps (- eps (* x 2))))> |
#<alt (* x (* x -4))> |
#<alt (* x -4)> |
#<alt (/ eps (- eps (* x 2)))> |
#<alt (/ eps (/ 1 eps))> |
#<alt (/ 1 eps)> |
#<alt (* x 2)> |
| Outputs |
|---|
#<alt (pow eps 2)> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (+ (* 2 (* eps x)) (pow eps 2))> |
#<alt (* 2 (* eps x))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* 2 (* eps x))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* 2 (* eps x))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))> |
#<alt (* 2 eps)> |
#<alt (* eps (+ 2 (/ eps x)))> |
#<alt (* eps (+ 2 (/ eps x)))> |
#<alt (* eps (+ 2 (/ eps x)))> |
#<alt (/ (pow eps 2) x)> |
#<alt (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (/ (pow eps 2) x)> |
#<alt (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (/ (pow eps 2) x)> |
#<alt (/ (+ (* 2 (* eps x)) (pow eps 2)) x)> |
#<alt (/ (+ (* 2 (* eps x)) (pow eps 2)) x)> |
#<alt (/ (+ (* 2 (* eps x)) (pow eps 2)) x)> |
#<alt (* 2 eps)> |
#<alt (+ (* 2 eps) (/ (pow eps 2) x))> |
#<alt (+ (* 2 eps) (/ (pow eps 2) x))> |
#<alt (+ (* 2 eps) (/ (pow eps 2) x))> |
#<alt (* 2 eps)> |
#<alt (+ (* 2 eps) (/ (pow eps 2) x))> |
#<alt (+ (* 2 eps) (/ (pow eps 2) x))> |
#<alt (+ (* 2 eps) (/ (pow eps 2) x))> |
#<alt 2> |
#<alt (+ 2 (/ eps x))> |
#<alt (+ 2 (/ eps x))> |
#<alt (+ 2 (/ eps x))> |
#<alt (/ eps x)> |
#<alt (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (/ eps x)> |
#<alt (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))> |
#<alt (/ eps x)> |
#<alt (/ (+ eps (* 2 x)) x)> |
#<alt (/ (+ eps (* 2 x)) x)> |
#<alt (/ (+ eps (* 2 x)) x)> |
#<alt 2> |
#<alt (+ 2 (/ eps x))> |
#<alt (+ 2 (/ eps x))> |
#<alt (+ 2 (/ eps x))> |
#<alt 2> |
#<alt (+ 2 (/ eps x))> |
#<alt (+ 2 (/ eps x))> |
#<alt (+ 2 (/ eps x))> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (/ eps x)> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -8 (/ x eps)) 4))> |
#<alt (* (pow x 2) (- (* x (- (* -16 (/ x (pow eps 2))) (* 8 (/ 1 eps)))) 4))> |
#<alt (* (pow x 2) (- (* x (- (* x (- (* -32 (/ x (pow eps 3))) (* 16 (/ 1 (pow eps 2))))) (* 8 (/ 1 eps)))) 4))> |
#<alt (* 2 (* eps x))> |
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))> |
#<alt (* x (+ (* 1/2 (/ (pow eps 3) (pow x 2))) (+ (* 2 eps) (/ (pow eps 2) x))))> |
#<alt (* x (+ (* 1/4 (/ (pow eps 4) (pow x 3))) (+ (* 1/2 (/ (pow eps 3) (pow x 2))) (+ (* 2 eps) (/ (pow eps 2) x)))))> |
#<alt (* 2 (* eps x))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (+ (* 1/2 (/ (pow eps 3) x)) (pow eps 2)) x)))))> |
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow eps 3)) (* -1/4 (/ (pow eps 4) x))) x)) (pow eps 2)) x)))))> |
#<alt (* 2 (* eps x))> |
#<alt (* eps (+ eps (* 2 x)))> |
#<alt (* eps (+ (* 2 x) (* eps (+ 1 (* 1/2 (/ eps x))))))> |
#<alt (* eps (+ (* 2 x) (* eps (+ 1 (* eps (+ (* 1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))))))> |
#<alt (* -4 (pow x 2))> |
#<alt (+ (* -8 (/ (pow x 3) eps)) (* -4 (pow x 2)))> |
#<alt (+ (* -16 (/ (pow x 4) (pow eps 2))) (+ (* -8 (/ (pow x 3) eps)) (* -4 (pow x 2))))> |
#<alt (+ (* -32 (/ (pow x 5) (pow eps 3))) (+ (* -16 (/ (pow x 4) (pow eps 2))) (+ (* -8 (/ (pow x 3) eps)) (* -4 (pow x 2)))))> |
#<alt (* -4 (pow x 2))> |
#<alt (+ (* -8 (/ (pow x 3) eps)) (* -4 (pow x 2)))> |
#<alt (+ (* -4 (pow x 2)) (* -1 (/ (+ (* 8 (pow x 3)) (* 16 (/ (pow x 4) eps))) eps)))> |
#<alt (+ (* -4 (pow x 2)) (* -1 (/ (+ (* -1 (/ (+ (* -32 (/ (pow x 5) eps)) (* -16 (pow x 4))) eps)) (* 8 (pow x 3))) eps)))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* eps (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* eps (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))> |
#<alt (* eps (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ x eps)))> |
#<alt (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps)))> |
#<alt (- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ x eps)))> |
#<alt (+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps)))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ x eps)))> |
#<alt (+ 1 (* x (+ (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps)))))> |
#<alt (+ 1 (* x (+ (* x (+ (* 8 (/ x (pow eps 3))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (/ (+ (* -1/2 eps) (* -1/4 (/ (pow eps 2) x))) x)> |
#<alt (/ (- (+ (* -1/2 eps) (* -1/8 (/ (pow eps 3) (pow x 2)))) (* 1/4 (/ (pow eps 2) x))) x)> |
#<alt (/ (- (+ (* -1/2 eps) (* -1/16 (/ (pow eps 4) (pow x 3)))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (/ (pow eps 2) x)))) x)> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1 (/ (+ (* 1/4 (/ (pow eps 2) x)) (* 1/2 eps)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 3) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 4) x)) (* -1/8 (pow eps 3))) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) 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 (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (/ 1 eps)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (* x (* eps (+ 2 (/ eps x)))) |
| 1.0ms | x | @ | -inf | (* x (* eps (+ 2 (/ eps x)))) |
| 0.0ms | x | @ | 0 | (* x (* eps (+ 2 (/ eps x)))) |
| 0.0ms | eps | @ | -inf | (* x (* eps (+ 2 (/ eps x)))) |
| 0.0ms | eps | @ | inf | (* x (* eps (+ 2 (/ eps x)))) |
| 1× | batch-egg-rewrite |
| 4318× | *-lowering-*.f32 |
| 4318× | *-lowering-*.f64 |
| 3124× | /-lowering-/.f32 |
| 3124× | /-lowering-/.f64 |
| 1238× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 61 |
| 1 | 99 | 60 |
| 2 | 693 | 58 |
| 3 | 7122 | 58 |
| 0 | 8393 | 58 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* eps (+ 2 (/ eps x)))) |
(* eps (+ 2 (/ eps x))) |
(+ 2 (/ eps x)) |
(/ eps x) |
(* (* x (* x -4)) (/ eps (- eps (* x 2)))) |
(* x (* x -4)) |
(* x -4) |
(/ eps (- eps (* x 2))) |
(/ eps (/ 1 eps)) |
(/ 1 eps) |
(* x 2) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 eps eps)) x)) |
(+.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) (*.f64 x (*.f64 eps #s(literal 2 binary64)))) |
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 eps eps)) x)) |
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 eps eps)) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (/.f64 (*.f64 x (*.f64 eps eps)) x)) |
(fma.f64 (/.f64 eps x) (*.f64 x eps) (*.f64 x (*.f64 eps #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (/.f64 (*.f64 x (*.f64 eps eps)) x)) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (/.f64 (*.f64 x (*.f64 eps eps)) x)) |
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 eps eps)) x)) |
(fma.f64 (*.f64 x eps) (/.f64 eps x) (*.f64 x (*.f64 eps #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps (*.f64 x (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x)))))))) |
(/.f64 (*.f64 x eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x)))))) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps)))) |
(/.f64 (*.f64 eps (*.f64 x (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x)))))) (-.f64 #s(literal 2 binary64) (/.f64 eps x))) |
(/.f64 (neg.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x))))))) (+.f64 #s(literal -4 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps))))) |
(/.f64 (neg.f64 (*.f64 eps (*.f64 x (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x))))))) (+.f64 #s(literal -2 binary64) (/.f64 eps x))) |
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 3 binary64))) (+.f64 (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) (/.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 eps eps)) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 3 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) (/.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) (/.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 eps eps)) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) (/.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (*.f64 x (*.f64 eps eps)) x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) eps)) |
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 (/.f64 eps (/.f64 x eps)) (-.f64 (/.f64 eps (/.f64 x eps)) (*.f64 eps #s(literal 2 binary64)))))) |
(/.f64 (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))))) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(/.f64 (*.f64 (*.f64 x eps) (+.f64 (neg.f64 (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x)))) #s(literal -8 binary64))) (+.f64 #s(literal -4 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps))))) |
(/.f64 (*.f64 (*.f64 x eps) (+.f64 #s(literal -4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x))))) (+.f64 #s(literal -2 binary64) (/.f64 eps x))) |
(/.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps (/.f64 x (/.f64 eps x))) #s(literal -4 binary64))) (+.f64 (/.f64 eps x) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) (/.f64 #s(literal -1 binary64) eps)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x)))) #s(literal -8 binary64)) (*.f64 x eps)) (+.f64 #s(literal -4 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps))))) |
(/.f64 (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x)))) (*.f64 x eps)) (+.f64 #s(literal -2 binary64) (/.f64 eps x))) |
(/.f64 (*.f64 (+.f64 (/.f64 eps (/.f64 x (/.f64 eps x))) #s(literal -4 binary64)) (*.f64 x eps)) (+.f64 (/.f64 eps x) #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) x) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 (/.f64 eps (/.f64 x eps)) (-.f64 (/.f64 eps (/.f64 x eps)) (*.f64 eps #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x)))) x) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(/.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x))))) x) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps)))) |
(/.f64 (*.f64 (*.f64 eps (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x))))) x) (-.f64 #s(literal 2 binary64) (/.f64 eps x))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(*.f64 eps (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(*.f64 eps (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 x eps)) |
(*.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) x) |
(*.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) |
(*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps)))) (*.f64 x eps))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x)))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x))) (*.f64 x eps))) |
(*.f64 (*.f64 x eps) (+.f64 #s(literal 2 binary64) (/.f64 eps x))) |
(*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps) |
(*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps))))) |
(*.f64 (*.f64 eps (*.f64 x (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x)))) |
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (/.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x)))))) (+.f64 #s(literal 64 binary64) (*.f64 (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps)) (*.f64 (/.f64 eps (/.f64 x (/.f64 eps x))) (*.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (+.f64 (/.f64 eps x) #s(literal -2 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps)) (-.f64 (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x)))))) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 eps (/.f64 x (/.f64 eps x))) (*.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))))) (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (/.f64 x eps)))) |
(*.f64 (/.f64 (*.f64 eps (*.f64 x (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x)))))) (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x))))) (+.f64 #s(literal 2 binary64) (/.f64 eps x))) |
(*.f64 (/.f64 (*.f64 eps (*.f64 x (-.f64 #s(literal 4 binary64) (/.f64 eps (/.f64 x (/.f64 eps x)))))) (-.f64 #s(literal 8 binary64) (/.f64 (/.f64 eps x) (/.f64 (/.f64 x eps) (/.f64 eps x))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) |
(+.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 eps (/.f64 x eps))) |
(+.f64 (/.f64 eps (/.f64 x eps)) (*.f64 eps #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x)))) (/.f64 (/.f64 (*.f64 (/.f64 eps (/.f64 x eps)) eps) (/.f64 x eps)) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))))) |
(fma.f64 eps #s(literal 2 binary64) (/.f64 eps (/.f64 x eps))) |
(fma.f64 eps (/.f64 eps x) (*.f64 eps #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) eps (/.f64 eps (/.f64 x eps))) |
(fma.f64 (/.f64 eps x) eps (*.f64 eps #s(literal 2 binary64))) |
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x) (*.f64 eps #s(literal 2 binary64))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) #s(literal -1 binary64)) |
(*.f64 eps (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) eps) |
(*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (/.f64 eps (+.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) eps)))) |
(*.f64 (/.f64 eps (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (/.f64 eps (+.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 eps (+.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (*.f64 eps (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))) (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (*.f64 eps eps))) (+.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 eps (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 (/.f64 eps (+.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 eps eps) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) eps)) (/.f64 (*.f64 eps eps) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64))) |
(/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal -1 binary64) eps)) |
(/.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 eps (pow.f64 eps #s(literal -1/2 binary64))) (pow.f64 eps #s(literal -1/2 binary64))) |
(pow.f64 eps #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) |
(*.f64 eps eps) |
(*.f64 #s(literal 1 binary64) (*.f64 eps eps)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps eps) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (pow.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 eps (pow.f64 eps #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1/2 binary64))) (/.f64 eps (pow.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 eps))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) eps)) |
(neg.f64 (/.f64 #s(literal -1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) eps) |
(/.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) eps)) |
(/.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) |
(pow.f64 eps #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) |
(*.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) |
(*.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 eps #s(literal -1/2 binary64)) (/.f64 (pow.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 eps #s(literal -1/2 binary64)) (*.f64 (pow.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1/2 binary64))) (pow.f64 eps #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) |
| 1× | egg-herbie |
| 4844× | *-lowering-*.f32 |
| 4844× | *-lowering-*.f64 |
| 1770× | fma-define |
| 1750× | fma-lowering-fma.f32 |
| 1750× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 246 | 1422 |
| 1 | 810 | 1345 |
| 2 | 2409 | 1320 |
| 3 | 7620 | 1320 |
| 0 | 8140 | 1320 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* 2 eps) |
(* eps (+ 2 (/ eps x))) |
(* eps (+ 2 (/ eps x))) |
(* eps (+ 2 (/ eps x))) |
(/ (pow eps 2) x) |
(* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(/ (pow eps 2) x) |
(* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(/ (pow eps 2) x) |
(/ (+ (* 2 (* eps x)) (pow eps 2)) x) |
(/ (+ (* 2 (* eps x)) (pow eps 2)) x) |
(/ (+ (* 2 (* eps x)) (pow eps 2)) x) |
(* 2 eps) |
(+ (* 2 eps) (/ (pow eps 2) x)) |
(+ (* 2 eps) (/ (pow eps 2) x)) |
(+ (* 2 eps) (/ (pow eps 2) x)) |
(* 2 eps) |
(+ (* 2 eps) (/ (pow eps 2) x)) |
(+ (* 2 eps) (/ (pow eps 2) x)) |
(+ (* 2 eps) (/ (pow eps 2) x)) |
2 |
(+ 2 (/ eps x)) |
(+ 2 (/ eps x)) |
(+ 2 (/ eps x)) |
(/ eps x) |
(* eps (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(* eps (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(* eps (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(/ eps x) |
(* eps (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(* eps (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(* eps (+ (* 2 (/ 1 eps)) (/ 1 x))) |
(/ eps x) |
(/ (+ eps (* 2 x)) x) |
(/ (+ eps (* 2 x)) x) |
(/ (+ eps (* 2 x)) x) |
2 |
(+ 2 (/ eps x)) |
(+ 2 (/ eps x)) |
(+ 2 (/ eps x)) |
2 |
(+ 2 (/ eps x)) |
(+ 2 (/ eps x)) |
(+ 2 (/ 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 x) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 (/ x eps)) 4)) |
(* (pow x 2) (- (* x (- (* -16 (/ x (pow eps 2))) (* 8 (/ 1 eps)))) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -32 (/ x (pow eps 3))) (* 16 (/ 1 (pow eps 2))))) (* 8 (/ 1 eps)))) 4)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 1/2 (/ (pow eps 3) (pow x 2))) (+ (* 2 eps) (/ (pow eps 2) x)))) |
(* x (+ (* 1/4 (/ (pow eps 4) (pow x 3))) (+ (* 1/2 (/ (pow eps 3) (pow x 2))) (+ (* 2 eps) (/ (pow eps 2) x))))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (+ (* 1/2 (/ (pow eps 3) x)) (pow eps 2)) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow eps 3)) (* -1/4 (/ (pow eps 4) x))) x)) (pow eps 2)) x))))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ (* 2 x) (* eps (+ 1 (* 1/2 (/ eps x)))))) |
(* eps (+ (* 2 x) (* eps (+ 1 (* eps (+ (* 1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x)))))))) |
(* -4 (pow x 2)) |
(+ (* -8 (/ (pow x 3) eps)) (* -4 (pow x 2))) |
(+ (* -16 (/ (pow x 4) (pow eps 2))) (+ (* -8 (/ (pow x 3) eps)) (* -4 (pow x 2)))) |
(+ (* -32 (/ (pow x 5) (pow eps 3))) (+ (* -16 (/ (pow x 4) (pow eps 2))) (+ (* -8 (/ (pow x 3) eps)) (* -4 (pow x 2))))) |
(* -4 (pow x 2)) |
(+ (* -8 (/ (pow x 3) eps)) (* -4 (pow x 2))) |
(+ (* -4 (pow x 2)) (* -1 (/ (+ (* 8 (pow x 3)) (* 16 (/ (pow x 4) eps))) eps))) |
(+ (* -4 (pow x 2)) (* -1 (/ (+ (* -1 (/ (+ (* -32 (/ (pow x 5) eps)) (* -16 (pow x 4))) eps)) (* 8 (pow x 3))) eps))) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -1/2 (/ eps x)) |
(* eps (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x)))) |
(* eps (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) |
(* eps (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) |
1 |
(+ 1 (* 2 (/ x eps))) |
(- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))) |
(- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))) |
1 |
(+ 1 (* 2 (/ x eps))) |
(+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))) |
1 |
(+ 1 (* 2 (/ x eps))) |
(+ 1 (* x (+ (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps))))) |
(+ 1 (* x (+ (* x (+ (* 8 (/ x (pow eps 3))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps))))) |
(* -1/2 (/ eps x)) |
(/ (+ (* -1/2 eps) (* -1/4 (/ (pow eps 2) x))) x) |
(/ (- (+ (* -1/2 eps) (* -1/8 (/ (pow eps 3) (pow x 2)))) (* 1/4 (/ (pow eps 2) x))) x) |
(/ (- (+ (* -1/2 eps) (* -1/16 (/ (pow eps 4) (pow x 3)))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (/ (pow eps 2) x)))) x) |
(* -1/2 (/ eps x)) |
(* -1 (/ (+ (* 1/4 (/ (pow eps 2) x)) (* 1/2 eps)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 3) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 4) x)) (* -1/8 (pow eps 3))) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) 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) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) x)) |
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(/.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 4) x)) (* -1/8 (pow eps 3))) x)) (* 1/4 (pow eps 2))) x)) (* 1/2 eps)) x)) |
(/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -1/4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/16 binary64)) x) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/8 binary64)))) x)) x)) 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) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
Compiled 11710 to 1403 computations (88% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 627 | 1 | 628 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 4 | 4 |
| Total | 628 | 7 | 635 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 70.8% | (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
| ▶ | 63.8% | (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
| ✓ | 99.8% | (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
| ✓ | 100.0% | (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ✓ | 63.9% | (*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
| ✓ | 71.0% | (*.f64 eps eps) |
Compiled 63 to 43 computations (31.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -4 binary64))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
| 4954× | *-lowering-*.f32 |
| 4954× | *-lowering-*.f64 |
| 3048× | /-lowering-/.f32 |
| 3048× | /-lowering-/.f64 |
| 2358× | associate-/l/ |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 21 | 31 |
| 2 | 56 | 29 |
| 3 | 178 | 29 |
| 4 | 386 | 25 |
| 5 | 504 | 25 |
| 6 | 821 | 25 |
| 7 | 2850 | 25 |
| 8 | 3828 | 25 |
| 9 | 3883 | 25 |
| 10 | 3903 | 25 |
| 11 | 3929 | 25 |
| 12 | 3961 | 25 |
| 13 | 4005 | 25 |
| 14 | 5480 | 25 |
| 15 | 5783 | 25 |
| 16 | 6294 | 25 |
| 17 | 7052 | 25 |
| 18 | 7983 | 25 |
| 0 | 8107 | 25 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* x -4)) (/ (* eps -1/2) x)) |
(* x (* x -4)) |
x |
(* x -4) |
-4 |
(/ (* eps -1/2) x) |
(* eps -1/2) |
eps |
-1/2 |
| Outputs |
|---|
(* (* x (* x -4)) (/ (* eps -1/2) x)) |
(*.f64 eps (*.f64 x #s(literal 2 binary64))) |
(* x (* x -4)) |
(*.f64 #s(literal -4 binary64) (*.f64 x x)) |
x |
(* x -4) |
(*.f64 x #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(/ (* eps -1/2) x) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* eps -1/2) |
(*.f64 eps #s(literal -1/2 binary64)) |
eps |
-1/2 |
#s(literal -1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps #s(literal -1/2 binary64)) |
| ✓ | accuracy | 88.9% | (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
| 23.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-mult: 7.0ms (74% of total)ival-div: 2.0ms (21.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* x (* x -4)) (/ (* eps -1/2) x))> |
#<alt (* x (* x -4))> |
#<alt (* x -4)> |
#<alt (/ (* eps -1/2) x)> |
#<alt (* eps -1/2)> |
| Outputs |
|---|
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* 2 (* eps x))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -4 x)> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 (/ eps x))> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
#<alt (* -1/2 eps)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | -inf | (/ (* eps -1/2) x) |
| 0.0ms | eps | @ | inf | (/ (* eps -1/2) x) |
| 0.0ms | eps | @ | inf | (* eps -1/2) |
| 0.0ms | eps | @ | -inf | (* eps -1/2) |
| 0.0ms | x | @ | inf | (/ (* eps -1/2) x) |
| 1× | batch-egg-rewrite |
| 2264× | *-lowering-*.f32 |
| 2264× | *-lowering-*.f64 |
| 2116× | /-lowering-/.f32 |
| 2116× | /-lowering-/.f64 |
| 792× | frac-times |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 29 | 27 |
| 2 | 141 | 25 |
| 3 | 860 | 21 |
| 0 | 5011 | 21 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* x -4)) (/ (* eps -1/2) x)) |
(* x (* x -4)) |
(* x -4) |
(/ (* eps -1/2) x) |
(* eps -1/2) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 eps #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 eps #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps)) |
(neg.f64 (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 eps (*.f64 x (/.f64 x #s(literal 1/2 binary64)))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (*.f64 x #s(literal -4 binary64)) eps)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) eps) x) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps))) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (/.f64 x (/.f64 eps #s(literal -2 binary64))))) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) eps))) |
(/.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) eps)) #s(literal 1 binary64))) |
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) eps))) |
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -2 binary64) eps) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -2 binary64) eps)) |
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 x (/.f64 eps #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 eps #s(literal -2 binary64))))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 x (/.f64 eps #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps) x)) |
(/.f64 (*.f64 eps (*.f64 x (/.f64 x #s(literal 1/2 binary64)))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) |
(/.f64 (*.f64 x (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x #s(literal -4 binary64)) eps)) (/.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x (/.f64 x #s(literal 1/2 binary64))) (/.f64 x eps)) |
(/.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) eps) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) eps) (*.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) eps) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (/.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) eps)) |
(/.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 x (*.f64 eps #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) eps) #s(literal -1 binary64))) |
(/.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 4 binary64)))) (/.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 4 binary64))) (/.f64 x (/.f64 eps #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) eps) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 x (/.f64 eps #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (/.f64 x #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal -4 binary64)) eps)) #s(literal -1 binary64)) (/.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 x eps)) |
(/.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (/.f64 eps #s(literal -2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 x #s(literal 4 binary64))) (/.f64 eps #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x eps))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal -1 binary64) eps)) (/.f64 x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) #s(literal -2 binary64)) (/.f64 x eps)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) eps)) (/.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) eps)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps) #s(literal -1 binary64)) |
(*.f64 x (*.f64 eps #s(literal 2 binary64))) |
(*.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) eps))) |
(*.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 eps #s(literal -2 binary64))) |
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(neg.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 x (/.f64 x (/.f64 eps #s(literal -2 binary64)))) |
(/.f64 eps #s(literal -2 binary64)) |
(/.f64 eps (*.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (/.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 eps (/.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) eps)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 eps #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 eps #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 eps #s(literal -2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 eps #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 x (/.f64 #s(literal -2 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) eps))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -2 binary64) eps) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (*.f64 eps #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) eps)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 eps #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) |
(/.f64 (*.f64 x eps) (/.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 x eps)) |
(/.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) eps)) |
(/.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal -2 binary64) eps) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 eps #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (/.f64 eps #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) eps) (/.f64 x #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (/.f64 eps #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 eps (/.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 eps (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 x (/.f64 #s(literal -2 binary64) eps)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (*.f64 x eps) #s(literal 1 binary64)) (/.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 x eps) #s(literal -1 binary64)) (/.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x eps)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x eps)) (/.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x eps)) (/.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x eps))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) eps)) (/.f64 x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 x eps)) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) eps)) (/.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -2 binary64) eps) #s(literal -1 binary64)) |
(*.f64 x (/.f64 eps (/.f64 x #s(literal -1/2 binary64)))) |
(*.f64 eps #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) eps) |
(*.f64 (/.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 eps (/.f64 x #s(literal -1/2 binary64))) x) |
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 eps (/.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal -2 binary64) eps))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x eps)) |
(*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 eps (/.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal -2 binary64) eps)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 eps x) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 eps x)) |
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) eps) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) eps) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 eps x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 x (/.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 x eps))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x eps)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x eps))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| 1× | egg-herbie |
| 50× | *-lowering-*.f32 |
| 50× | *-lowering-*.f64 |
| 20× | *-commutative |
| 8× | associate-*r* |
| 8× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 372 |
| 1 | 23 | 372 |
| 2 | 34 | 372 |
| 3 | 37 | 372 |
| 0 | 37 | 372 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -4 x) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 (/ eps x)) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
(* -1/2 eps) |
| Outputs |
|---|
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(* -1/2 eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
Compiled 5614 to 897 computations (84% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 417 | 1 | 418 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 418 | 7 | 425 |
| Status | Accuracy | Program |
|---|---|---|
| 63.8% | (/.f64 (*.f64 x (/.f64 x #s(literal 1/2 binary64))) (/.f64 x eps)) | |
| ✓ | 99.7% | (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 70.8% | (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
| ✓ | 99.8% | (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
| ✓ | 100.0% | (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
| ✓ | 63.9% | (*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
| ✓ | 71.0% | (*.f64 eps eps) |
Compiled 160 to 82 computations (48.8% saved)
| Inputs |
|---|
(*.f64 eps eps) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 x (/.f64 x #s(literal 1/2 binary64))) (/.f64 x eps)) |
(*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(*.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
3 calls:
| 5.0ms | eps |
| 4.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
| 100.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
(*.f64 eps eps) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
| Outputs |
|---|
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(*.f64 eps eps) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
2 calls:
| 2.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 3 | x |
| 87.4% | 3 | eps |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 eps eps) |
| Outputs |
|---|
(*.f64 eps eps) |
2 calls:
| 1.0ms | eps |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 1 | eps |
| 71.0% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.2030855038981945e-124 | 8.303418710657207e-121 |
| 21.0ms | -2.354944505017353e-93 | -4.834560060264842e-100 |
| 22.0ms | 160× | 1 | valid |
| 8.0ms | 112× | 0 | valid |
Compiled 254 to 181 computations (28.7% saved)
ival-pow: 9.0ms (49.5% of total)ival-sub: 4.0ms (22% of total)ival-add: 3.0ms (16.5% of total)backward-pass: 2.0ms (11% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | if-if-or-not_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 27 |
| 1 | 22 | 27 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 1162941958872971/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312 binary64)) (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 eps eps) |
| Outputs |
|---|
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 1162941958872971/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312 binary64)) (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 x #s(literal -5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1162941958872971/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312 binary64)) (*.f64 eps eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 eps eps) |
| 1988× | +-lowering-+.f64 |
| 1988× | +-lowering-+.f32 |
| 1886× | fnmsub-define |
| 1856× | sum4-define |
| 1748× | fmsub-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 288 |
| 1 | 128 | 252 |
| 2 | 331 | 252 |
| 3 | 870 | 252 |
| 4 | 2492 | 252 |
| 5 | 6116 | 252 |
| 0 | 8495 | 252 |
| 0 | 7 | 9 |
| 1 | 12 | 9 |
| 2 | 34 | 8 |
| 3 | 112 | 8 |
| 4 | 511 | 6 |
| 5 | 1634 | 6 |
| 6 | 3534 | 6 |
| 0 | 8284 | 6 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 86 to 49 computations (43% saved)
Compiled 88 to 42 computations (52.3% saved)
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