
Time bar (total: 6.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 9 to 7 computations (22.2% saved)
| 335.0ms | 8 256× | 0 | valid |
ival-mult: 70.0ms (38.5% of total)ival-div: 60.0ms (33% of total)ival-add: 39.0ms (21.5% of total)ival-true: 6.0ms (3.3% of total)exact: 5.0ms (2.8% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 71 | 0 | - | 0 | - | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) | n/o | 71 | 0 |
| ↳ | (*.f64 x x) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 71 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 0 |
| - | 0 | 185 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 0 |
| - | 0 | 0 | 185 |
| number | freq |
|---|---|
| 0 | 185 |
| 1 | 71 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 512× | 0 | valid |
Compiled 62 to 24 computations (61.3% saved)
ival-mult: 4.0ms (36.5% of total)ival-div: 3.0ms (27.4% of total)ival-add: 2.0ms (18.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 26 | 15 |
| 2 | 62 | 14 |
| 3 | 128 | 14 |
| 4 | 232 | 14 |
| 5 | 331 | 14 |
| 6 | 344 | 14 |
| 7 | 346 | 14 |
| 8 | 350 | 14 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 11 | 7 |
| 0 | 11 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(negabs x)
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.0% | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 17 |
| 0 | 8 | 17 |
| 1 | 11 | 17 |
| 0 | 11 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
x |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
x |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 16.63513586724276 | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 10.0ms | 256× | 0 | valid |
Compiled 36 to 12 computations (66.7% saved)
ival-div: 2.0ms (39% of total)ival-mult: 2.0ms (39% of total)ival-add: 1.0ms (19.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x x) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(/ 1 x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* x x) 1) (/ x (+ (* x x) 1)) (* x x)) |
| 1.0ms | x | @ | -inf | ((+ (* x x) 1) (/ x (+ (* x x) 1)) (* x x)) |
| 1.0ms | x | @ | 0 | ((+ (* x x) 1) (/ x (+ (* x x) 1)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 149 |
| 1 | 131 | 147 |
| 2 | 314 | 139 |
| 3 | 887 | 135 |
| 4 | 2406 | 133 |
| 5 | 5739 | 133 |
| 6 | 7796 | 133 |
| 0 | 8040 | 127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(/ 1 x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(-.f64 x (pow.f64 x #s(literal 3 binary64))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 33 | 15 |
| 2 | 202 | 15 |
| 3 | 1768 | 15 |
| 0 | 8628 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
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(/.f64 (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)) |
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 7 652 to 1 078 computations (85.9% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 5 | 337 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 333 | 5 | 338 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.8% | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
| ▶ | 74.0% | (/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
| ▶ | 49.7% | (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
| ▶ | 49.4% | #s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) |
| ▶ | 53.2% | #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 108 to 76 computations (29.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 1408 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 5888 | (neg.f64 (pow.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* x x) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) | |
| cost-diff | -5760 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 109 |
| 0 | 33 | 104 |
| 1 | 57 | 103 |
| 2 | 132 | 103 |
| 3 | 342 | 103 |
| 4 | 770 | 103 |
| 5 | 2028 | 103 |
| 6 | 7434 | 103 |
| 0 | 8096 | 103 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
x |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
x |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
x |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
x |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (neg.f64 (pow.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.4762825536242494 | (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 16.219106819219043 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.03515625 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) | |
| accuracy | 32.39056544114639 | #s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) | |
| accuracy | 16.63513586724276 | (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) | |
| accuracy | 32.01655875134985 | #s(approx (+ (* x x) 1) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 29.94782205195965 | #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 16.63513586724276 | (/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
| 37.0ms | 256× | 0 | valid |
Compiled 218 to 40 computations (81.7% saved)
ival-div: 6.0ms (29.3% of total)ival-pow: 5.0ms (24.4% of total)ival-add: 4.0ms (19.6% of total)ival-mult: 3.0ms (14.7% of total)ival-neg: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
1 |
(+ 1 (pow x 2)) |
(/ 1 x) |
(pow x 3) |
-1 |
(- (pow x 2) 1) |
(/ -1 x) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 5) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) (+ (* x x) -1) (neg (pow x -1)) (/ (/ -1 (+ (* x x) 1)) (neg (pow x -1))) (/ -1 (+ (* x x) 1)) (pow x -1)) |
| 1.0ms | x | @ | inf | ((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) (+ (* x x) -1) (neg (pow x -1)) (/ (/ -1 (+ (* x x) 1)) (neg (pow x -1))) (/ -1 (+ (* x x) 1)) (pow x -1)) |
| 1.0ms | x | @ | 0 | ((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) (+ (* x x) -1) (neg (pow x -1)) (/ (/ -1 (+ (* x x) 1)) (neg (pow x -1))) (/ -1 (+ (* x x) 1)) (pow x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 302 |
| 1 | 175 | 286 |
| 2 | 445 | 283 |
| 3 | 1297 | 263 |
| 4 | 3700 | 261 |
| 5 | 7546 | 261 |
| 0 | 8094 | 255 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
1 |
(+ 1 (pow x 2)) |
(/ 1 x) |
(pow x 3) |
-1 |
(- (pow x 2) 1) |
(/ -1 x) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 5) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(-.f64 x (pow.f64 x #s(literal 3 binary64))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) #s(literal 1 binary64)) x) x) #s(literal -1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) #s(literal 1 binary64)) x) x) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 x x)) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) #s(literal 1 binary64)) x) x) #s(literal -1 binary64)) x) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 93 |
| 0 | 33 | 88 |
| 1 | 133 | 87 |
| 2 | 819 | 87 |
| 0 | 8877 | 87 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
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(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) |
Compiled 16 850 to 2 140 computations (87.3% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 729 | 2 | 731 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 731 | 5 | 736 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.8% | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | 74.0% | (/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | 49.7% | (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
| ▶ | 49.4% | #s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
| ✓ | 53.2% | #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 55 to 37 computations (32.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 1408 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) | |
| cost-diff | 128 | (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 70 |
| 0 | 24 | 70 |
| 1 | 42 | 68 |
| 2 | 88 | 66 |
| 3 | 222 | 63 |
| 4 | 605 | 61 |
| 5 | 1330 | 61 |
| 6 | 4085 | 61 |
| 7 | 7908 | 61 |
| 0 | 8048 | 61 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 x x) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 x x) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.4762825536242494 | (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 16.219106819219043 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x) | |
| accuracy | 32.39056544114639 | #s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
| 26.0ms | 256× | 0 | valid |
Compiled 139 to 31 computations (77.7% saved)
ival-div: 10.0ms (54.9% of total)ival-mult: 5.0ms (27.5% of total)ival-add: 3.0ms (16.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x x) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
-1 |
(- (pow x 2) 1) |
(pow x 2) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
1 |
(+ 1 (pow x 2)) |
(/ -1 x) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(pow x 5) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(/ 1 x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* (* (+ (* x x) -1) x) (* x x)) x) (/ x (+ (* x x) 1)) (+ (* x x) -1) (* x x) (/ (/ -1 (+ (* x x) 1)) (/ -1 x)) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (/ -1 x) (* (+ (* x x) -1) x)) |
| 1.0ms | x | @ | -inf | ((+ (* (* (+ (* x x) -1) x) (* x x)) x) (/ x (+ (* x x) 1)) (+ (* x x) -1) (* x x) (/ (/ -1 (+ (* x x) 1)) (/ -1 x)) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (/ -1 x) (* (+ (* x x) -1) x)) |
| 1.0ms | x | @ | 0 | ((+ (* (* (+ (* x x) -1) x) (* x x)) x) (/ x (+ (* x x) 1)) (+ (* x x) -1) (* x x) (/ (/ -1 (+ (* x x) 1)) (/ -1 x)) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (/ -1 x) (* (+ (* x x) -1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 333 |
| 1 | 189 | 318 |
| 2 | 489 | 312 |
| 3 | 1465 | 304 |
| 4 | 5320 | 304 |
| 0 | 8388 | 281 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
-1 |
(- (pow x 2) 1) |
(pow x 2) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
1 |
(+ 1 (pow x 2)) |
(/ -1 x) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(pow x 5) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(/ 1 x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(-.f64 x (pow.f64 x #s(literal 3 binary64))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 65 |
| 0 | 24 | 65 |
| 1 | 101 | 59 |
| 2 | 689 | 58 |
| 3 | 7866 | 58 |
| 0 | 8553 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x x) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
(*.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) |
(*.f64 x (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (+.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)))) |
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(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (neg.f64 x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 x (pow.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) x) (neg.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 6 binary64))) (-.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) x (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(fma.f64 x (*.f64 x x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
Compiled 17 730 to 2 339 computations (86.8% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 669 | 1 | 670 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 669 | 6 | 675 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 73.8% | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | 74.0% | (/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | 49.7% | (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
| ✓ | 49.4% | #s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
| ▶ | 48.6% | #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
| ✓ | 53.2% | #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 78 to 50 computations (35.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 0 | 17 | 54 |
| 1 | 31 | 54 |
| 2 | 54 | 48 |
| 3 | 105 | 48 |
| 4 | 203 | 48 |
| 5 | 482 | 48 |
| 6 | 1078 | 48 |
| 7 | 3061 | 48 |
| 8 | 5622 | 48 |
| 9 | 7932 | 48 |
| 0 | 8125 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) |
#s(approx (* (+ (* x x) -1) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) |
#s(approx (* (+ (* x x) -1) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0390625 | (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) | |
| accuracy | 32.39056544114639 | #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) | |
| accuracy | 33.24836152162327 | #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) |
| 17.0ms | 256× | 0 | valid |
Compiled 89 to 26 computations (70.8% saved)
ival-mult: 5.0ms (44.2% of total)ival-add: 3.0ms (26.5% of total)ival-div: 2.0ms (17.7% of total)ival-neg: 1.0ms (8.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) |
#s(approx (* (+ (* x x) -1) x) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(/ 1 x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(pow x 5) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x)) |
| 0.0ms | x | @ | 0 | ((/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 220 |
| 1 | 158 | 209 |
| 2 | 410 | 204 |
| 3 | 1262 | 200 |
| 4 | 3680 | 200 |
| 5 | 7759 | 200 |
| 0 | 8355 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(/ 1 x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(pow x 5) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(-.f64 x (pow.f64 x #s(literal 3 binary64))) |
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (/ (- (/ 1 (pow x 2)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)) |
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 0 | 17 | 50 |
| 1 | 72 | 47 |
| 2 | 473 | 44 |
| 3 | 5239 | 44 |
| 0 | 8692 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) |
#s(approx (* (+ (* x x) -1) x) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)))) (-.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)))) (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
(*.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 x x (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (pow.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)))) |
(*.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) (pow.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) (/.f64 (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) (*.f64 (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))) (pow.f64 (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
(*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal 1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x))) (fma.f64 x x (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) |
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(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)))) x) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) x) |
(fma.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x) |
(fma.f64 x (exp.f64 (log.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x))) x) |
(fma.f64 x (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal -1 binary64)))))) |
(+.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x) |
(+.f64 x (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x))) |
#s(approx (* (+ (* x x) -1) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
Compiled 5 868 to 482 computations (91.8% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 0 | 125 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 125 | 6 | 131 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 73.8% | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | 74.0% | (/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | 49.7% | (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
| ✓ | 49.4% | #s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
| ✓ | 48.6% | #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
| ✓ | 53.2% | #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 191 to 87 computations (54.5% saved)
| Inputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 x (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | x |
| 99.9% | 2 | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
| Outputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
2 calls:
| 4.0ms | x |
| 1.0ms | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 4 | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 99.3% | 2 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 1 | (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 53.2% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 115427.83358776303 | 49653398565.40752 |
| 1.0ms | 32× | 0 | valid |
Compiled 44 to 37 computations (15.9% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.0019049911115419428 | 13.33377688699276 |
| 7.0ms | 128× | 0 | valid |
Compiled 282 to 193 computations (31.6% saved)
ival-mult: 3.0ms (60.4% of total)ival-div: 1.0ms (20.1% of total)ival-add: 1.0ms (20.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 0.0019049911115419428 | 13.33377688699276 |
| 1.0ms | 32× | 0 | valid |
Compiled 170 to 145 computations (14.7% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 94 |
| 1 | 39 | 94 |
| 2 | 57 | 92 |
| 3 | 101 | 92 |
| 4 | 226 | 92 |
| 5 | 523 | 92 |
| 6 | 1317 | 92 |
| 7 | 3515 | 92 |
| 8 | 7227 | 92 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))) |
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 93 |
| 0 | 33 | 88 |
| 1 | 133 | 87 |
| 2 | 819 | 87 |
| 0 | 8877 | 87 |
| 0 | 45 | 149 |
| 1 | 131 | 147 |
| 2 | 314 | 139 |
| 3 | 887 | 135 |
| 4 | 2406 | 133 |
| 5 | 5739 | 133 |
| 6 | 7796 | 133 |
| 0 | 8040 | 127 |
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 33 | 15 |
| 2 | 202 | 15 |
| 3 | 1768 | 15 |
| 0 | 8628 | 13 |
| 0 | 68 | 333 |
| 1 | 189 | 318 |
| 2 | 489 | 312 |
| 3 | 1465 | 304 |
| 4 | 5320 | 304 |
| 0 | 8388 | 281 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 148 to 69 computations (53.4% saved)
Compiled 300 to 134 computations (55.3% saved)
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