Logistic function from Lakshay Garg
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 12 to 12 computations (0% saved)
| 510.0ms | 1 529× | 2 | valid |
| 422.0ms | 2 451× | 1 | valid |
| 343.0ms | 4 276× | 0 | valid |
ival-exp: 413.0ms (43.9% of total)ival-mult: 129.0ms (13.7% of total)ival-sub: 113.0ms (12% of total)ival-div: 99.0ms (10.5% of total)adjust: 88.0ms (9.4% of total)ival-add: 77.0ms (8.2% of total)exact: 10.0ms (1.1% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| 1× | egg-herbie |
| 96× | sub-neg |
| 56× | exp-prod |
| 56× | +-commutative |
| 32× | associate-+l- |
| 32× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 54 |
| 1 | 47 | 52 |
| 2 | 89 | 50 |
| 3 | 134 | 50 |
| 4 | 168 | 50 |
| 5 | 219 | 50 |
| 6 | 271 | 50 |
| 7 | 313 | 50 |
| 8 | 365 | 50 |
| 9 | 432 | 50 |
| 10 | 469 | 50 |
| 11 | 486 | 50 |
| 12 | 501 | 50 |
| 13 | 514 | 50 |
| 14 | 522 | 50 |
| 15 | 526 | 50 |
| 0 | 9 | 10 |
| 0 | 14 | 10 |
| 1 | 23 | 10 |
| 2 | 26 | 10 |
| 0 | 26 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 117 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 0 | 1 | (-55.31470093924291 1.083071820574215e+164) | 0 | - | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal -2 binary64) x) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) | cancellation | 117 | 0 |
exp.f64 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 117 | 0 |
| - | 1 | 138 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 117 | 0 | 0 |
| - | 1 | 0 | 138 |
| number | freq |
|---|---|
| 0 | 138 |
| 1 | 118 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 92× | 2 | valid |
| 22.0ms | 138× | 1 | valid |
| 18.0ms | 282× | 0 | valid |
Compiled 98 to 44 computations (55.1% saved)
ival-exp: 25.0ms (50.6% of total)ival-div: 6.0ms (12.1% of total)adjust: 5.0ms (10.1% of total)ival-add: 4.0ms (8.1% of total)ival-mult: 4.0ms (8.1% of total)ival-sub: 4.0ms (8.1% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 8× | lower-+.f32 |
| 6× | lower-+.f64 |
| 6× | lower-exp.f32 |
| 4× | exp-prod |
| 4× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 14 | 35 |
| 1 | 23 | 35 |
| 2 | 26 | 35 |
| 0 | 26 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) x) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| ✓ | accuracy | 57.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 16.0ms | 46× | 2 | valid |
| 12.0ms | 141× | 0 | valid |
| 10.0ms | 69× | 1 | valid |
Compiled 37 to 12 computations (67.6% saved)
ival-exp: 13.0ms (46.9% of total)ival-mult: 4.0ms (14.4% of total)adjust: 3.0ms (10.8% of total)ival-div: 3.0ms (10.8% of total)ival-add: 3.0ms (10.8% of total)ival-sub: 2.0ms (7.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))> |
#<alt (exp.f64 (*.f64 #s(literal -2 binary64) x))> |
#<alt (*.f64 #s(literal -2 binary64) x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))> |
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* x (- (* 2 x) 2)))> |
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
| 1.0ms | x | @ | 0 | (* -2 x) |
| 1.0ms | x | @ | -inf | (- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
| 1.0ms | x | @ | 0 | (- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
| 0.0ms | x | @ | -inf | (/ 2 (+ 1 (exp (* -2 x)))) |
| 1× | batch-egg-rewrite |
| 3 790× | lower-fma.f64 |
| 3 790× | lower-fma.f32 |
| 3 628× | lower-*.f32 |
| 3 626× | lower-*.f64 |
| 2 806× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 53 | 31 |
| 2 | 371 | 31 |
| 3 | 5969 | 31 |
| 0 | 8136 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(expm1.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(expm1.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(expm1.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))) |
(fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))) |
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(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (pow.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64)))))) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 #s(literal -4 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) x) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (exp.f64 (*.f64 x #s(literal -1 binary64)))) (log.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))))) |
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x))) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64)) |
| 1× | egg-herbie |
| 15 342× | lower-fma.f64 |
| 15 342× | lower-fma.f32 |
| 3 260× | lower-*.f64 |
| 3 260× | lower-*.f32 |
| 1 930× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 394 |
| 1 | 119 | 394 |
| 2 | 234 | 384 |
| 3 | 604 | 384 |
| 4 | 1194 | 384 |
| 5 | 1764 | 384 |
| 6 | 2024 | 384 |
| 7 | 2599 | 384 |
| 8 | 3669 | 384 |
| 9 | 5745 | 384 |
| 10 | 6685 | 384 |
| 11 | 7091 | 384 |
| 12 | 7233 | 384 |
| 13 | 7295 | 384 |
| 14 | 7337 | 384 |
| 0 | 8101 | 363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(-.f64 #s(literal 2 binary64) (+.f64 x x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(-.f64 #s(literal 1 binary64) (+.f64 x x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(exp (* -2 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp (* -2 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp (* -2 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp (* -2 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp (* -2 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp (* -2 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp (* -2 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp (* -2 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
(* -2 x) |
(-.f64 (neg.f64 x) x) |
Compiled 8 267 to 1 096 computations (86.7% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 9 | 364 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 355 | 10 | 365 |
| Status | Accuracy | Program |
|---|---|---|
| 46.2% | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| 47.8% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| ▶ | 54.8% | (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
| ▶ | 46.2% | (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
| ▶ | 32.6% | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ▶ | 32.3% | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 31.7% | (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64)) | |
| ✓ | 57.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 6.4% | (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ▶ | 4.2% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
Compiled 304 to 176 computations (42.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -2 binary64) (+.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) |
| 8 884× | lower-fma.f32 |
| 8 870× | lower-fma.f64 |
| 4 178× | lower-*.f32 |
| 4 170× | lower-*.f64 |
| 2 720× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 291 |
| 0 | 73 | 285 |
| 1 | 132 | 285 |
| 2 | 245 | 285 |
| 3 | 451 | 285 |
| 4 | 829 | 285 |
| 5 | 1561 | 285 |
| 6 | 3058 | 285 |
| 7 | 4314 | 285 |
| 8 | 4939 | 285 |
| 9 | 5120 | 285 |
| 10 | 5148 | 285 |
| 11 | 5156 | 285 |
| 12 | 5172 | 285 |
| 13 | 5232 | 285 |
| 14 | 5298 | 285 |
| 15 | 5298 | 285 |
| 16 | 5486 | 285 |
| 17 | 6306 | 285 |
| 18 | 6519 | 285 |
| 19 | 7191 | 285 |
| 0 | 8549 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) |
x |
(+.f64 #s(literal -2 binary64) (+.f64 x x)) |
#s(literal -2 binary64) |
(+.f64 x x) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 0 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) |
x |
(+.f64 #s(literal -2 binary64) (+.f64 x x)) |
#s(literal -2 binary64) |
(+.f64 x x) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -2 binary64) (+.f64 x x)) |
| ✓ | accuracy | 99.9% | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
| 61.0ms | 116× | 1 | exit |
| 50.0ms | 140× | 0 | valid |
Compiled 315 to 47 computations (85.1% saved)
ival-mult: 23.0ms (30.5% of total)adjust: 11.0ms (14.6% of total)ival-add: 11.0ms (14.6% of total)ival-div: 8.0ms (10.6% of total)const: 7.0ms (9.3% of total)ival-sub: 6.0ms (8% of total)ival-pow: 6.0ms (8% of total)ival-exp: 2.0ms (2.7% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))> |
#<alt (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))> |
#<alt (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))> |
#<alt (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)))> |
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))> |
#<alt (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))> |
#<alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))> |
#<alt (+.f64 #s(literal -2 binary64) (+.f64 x x))> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))> |
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))> |
#<alt (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))> |
#<alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))> |
#<alt (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64))> |
#<alt (+.f64 x x)> |
#<alt (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))> |
#<alt (* 1/2 (+ 1 (exp (* -2 x))))> |
#<alt (* 1/2 (+ 1 (exp (* -2 x))))> |
#<alt (* 1/2 (+ 1 (exp (* -2 x))))> |
#<alt (* 1/2 (+ 1 (exp (* -2 x))))> |
#<alt (* 1/2 (+ 1 (exp (* -2 x))))> |
#<alt (* 1/2 (+ 1 (exp (* -2 x))))> |
#<alt (* 1/2 (+ 1 (exp (* -2 x))))> |
#<alt (* 1/2 (+ 1 (exp (* -2 x))))> |
#<alt -1/2> |
#<alt (- (* 1/4 x) 1/2)> |
#<alt (- (* x (+ 1/4 (* -1/8 x))) 1/2)> |
#<alt (- (* x (+ 1/4 (* x (- (* -1/48 x) 1/8)))) 1/2)> |
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))> |
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))> |
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))> |
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))> |
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))> |
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))> |
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))> |
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 3/4 x)) x)> |
#<alt (/ (+ 1/2 (* x (+ 3/4 (* 7/24 x)))) x)> |
#<alt (/ (+ 1/2 (* x (+ 3/4 (* x (+ 7/24 (* -1/16 x)))))) x)> |
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))> |
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))> |
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))> |
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))> |
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))> |
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))> |
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))> |
#<alt (/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))> |
#<alt -1> |
#<alt (- (/ 1 (pow x 2)) 1)> |
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)> |
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))> |
#<alt -1> |
#<alt (- (/ 1 (pow x 2)) 1)> |
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)> |
#<alt (- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* -1 (pow x 2)))))> |
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))> |
#<alt (/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* x (- (* 2 x) 2)))> |
#<alt (+ 2 (* x (- (* 2 x) 2)))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))> |
#<alt -2> |
#<alt (- (* 2 x) 2)> |
#<alt (- (* 2 x) 2)> |
#<alt (- (* 2 x) 2)> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 2 (/ 1 x))))> |
#<alt (* x (- 2 (* 2 (/ 1 x))))> |
#<alt (* x (- 2 (* 2 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt (- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))> |
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))> |
#<alt (/ -3/2 (pow x 3))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))> |
#<alt (/ -3/2 (pow x 3))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* x (- (* 2 x) 2)))> |
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (* -4/3 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))> |
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))> |
#<alt (* -4/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))> |
#<alt -2> |
#<alt (- (* 2 x) 2)> |
#<alt (- (* x (+ 2 (* -4/3 x))) 2)> |
#<alt (- (* x (+ 2 (* -4/3 x))) 2)> |
#<alt (* -4/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))> |
#<alt (* -4/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 x))> |
#<alt (* x (+ 2 (* x (+ 1 (* -2/3 x)))))> |
#<alt (* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))> |
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)> |
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)> |
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)> |
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)> |
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)> |
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)> |
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)> |
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 x)))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt 2> |
#<alt (+ 2 (* -4/3 x))> |
#<alt (+ 2 (* -4/3 x))> |
#<alt (+ 2 (* -4/3 x))> |
#<alt (* -4/3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 4/3))> |
#<alt (* x (- (* 2 (/ 1 x)) 4/3))> |
#<alt (* x (- (* 2 (/ 1 x)) 4/3))> |
#<alt (* -4/3 x)> |
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1) |
| 3.0ms | x | @ | inf | (* (+ 1 (exp (* -2 x))) 1/2) |
| 2.0ms | x | @ | -inf | (+ (* (/ (pow (* (+ 1 (exp (* -2 x))) 1/2) -2) (+ (* 4 (pow (+ 1 (exp (* -2 x))) -2)) -1)) (- -1 (/ -2 (+ 1 (exp (* -2 x)))))) (neg (/ 1 (- 1 (/ -2 (+ 1 (exp (* -2 x)))))))) |
| 2.0ms | x | @ | inf | (+ (* (/ (pow (* (+ 1 (exp (* -2 x))) 1/2) -2) (+ (* 4 (pow (+ 1 (exp (* -2 x))) -2)) -1)) (- -1 (/ -2 (+ 1 (exp (* -2 x)))))) (neg (/ 1 (- 1 (/ -2 (+ 1 (exp (* -2 x)))))))) |
| 2.0ms | x | @ | 0 | (+ (* (/ (pow (* (+ 1 (exp (* -2 x))) 1/2) -2) (+ (* 4 (pow (+ 1 (exp (* -2 x))) -2)) -1)) (- -1 (/ -2 (+ 1 (exp (* -2 x)))))) (neg (/ 1 (- 1 (/ -2 (+ 1 (exp (* -2 x)))))))) |
| 1× | batch-egg-rewrite |
| 1 886× | lower-fma.f32 |
| 1 872× | lower-fma.f64 |
| 1 418× | lower-*.f32 |
| 1 410× | lower-*.f64 |
| 1 216× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 222 |
| 0 | 73 | 216 |
| 1 | 328 | 216 |
| 0 | 2864 | 208 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) |
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) (+.f64 x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(+.f64 x x) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(pow.f64 (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))) |
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(*.f64 x (+.f64 x x)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (+.f64 x x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (+.f64 x x)) |
(*.f64 (+.f64 x x) #s(literal -2 binary64)) |
(*.f64 (+.f64 x x) x) |
(*.f64 (+.f64 x x) (+.f64 x x)) |
(*.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64))) |
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) |
(*.f64 #s(literal -4 binary64) x) |
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))) |
(+.f64 (*.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/9 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 16/9 binary64)) (*.f64 x #s(literal -8/3 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 16/9 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))) |
| 1× | egg-herbie |
| 9 664× | lower-fma.f64 |
| 9 664× | lower-fma.f32 |
| 4 148× | lower-*.f64 |
| 4 148× | lower-*.f32 |
| 2 274× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 2319 |
| 1 | 764 | 2251 |
| 2 | 2045 | 2218 |
| 3 | 6329 | 2022 |
| 0 | 8452 | 1895 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1))) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
-1/2 |
(- (* 1/4 x) 1/2) |
(- (* x (+ 1/4 (* -1/8 x))) 1/2) |
(- (* x (+ 1/4 (* x (- (* -1/48 x) 1/8)))) 1/2) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(- (* 4 (/ (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 3/4 x)) x) |
(/ (+ 1/2 (* x (+ 3/4 (* 7/24 x)))) x) |
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 7/24 (* -1/16 x)))))) x) |
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1))) |
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1))) |
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1))) |
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1))) |
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1))) |
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1))) |
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1))) |
(/ 4 (* (pow (+ 1 (exp (* -2 x))) 2) (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))) |
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1)))) |
-1 |
(- (/ 1 (pow x 2)) 1) |
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) |
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5)))) |
-1 |
(- (/ 1 (pow x 2)) 1) |
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) |
(- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (/ 1 x)) (pow x 2)) |
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2)) |
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (/ 1 x)) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* 2 x) 2))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
-2 |
(- (* 2 x) 2) |
(- (* 2 x) 2) |
(- (* 2 x) 2) |
(* 2 x) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* 2 x) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3)))) |
-1 |
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
-1 |
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))) |
(/ -3/2 (pow x 3)) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3)) |
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3)) |
(/ -3/2 (pow x 3)) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(* -4/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(* -4/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
-2 |
(- (* 2 x) 2) |
(- (* x (+ 2 (* -4/3 x))) 2) |
(- (* x (+ 2 (* -4/3 x))) 2) |
(* -4/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* -4/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) |
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) |
(* 2 x) |
(* x (+ 2 x)) |
(* x (+ 2 (* x (+ 1 (* -2/3 x))))) |
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3)))))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 x))) |
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x)))))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
2 |
(+ 2 (* -4/3 x)) |
(+ 2 (* -4/3 x)) |
(+ 2 (* -4/3 x)) |
(* -4/3 x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* -4/3 x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (+ 1 (exp (* -2 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/4 x) 1/2) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) |
(- (* x (+ 1/4 (* -1/8 x))) 1/2) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) |
(- (* x (+ 1/4 (* x (- (* -1/48 x) 1/8)))) 1/2) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/48 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
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(/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3)) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 9/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 9/16 binary64) x)) x)) x)) (*.f64 x (*.f64 x x))) |
(/ -3/2 (pow x 3)) |
(/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (/.f64 #s(literal -9/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 9/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 9/16 binary64) x)) x)) x)) (*.f64 x (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(* -4/3 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -4/3 binary64)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(*.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))))) |
(* -4/3 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -4/3 binary64)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(*.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))))) |
-2 |
#s(literal -2 binary64) |
(- (* 2 x) 2) |
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) |
(- (* x (+ 2 (* -4/3 x))) 2) |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(- (* x (+ 2 (* -4/3 x))) 2) |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(* -4/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4/3 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(* -4/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4/3 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) |
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 x)) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(* x (+ 2 (* x (+ 1 (* -2/3 x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3)))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 x))) |
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4/3 x)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -4/3 x)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -4/3 x)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(* -4/3 x) |
(*.f64 x #s(literal -4/3 binary64)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(* -4/3 x) |
(*.f64 x #s(literal -4/3 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
Compiled 21 738 to 2 053 computations (90.6% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 698 | 6 | 704 |
| Fresh | 1 | 3 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 703 | 11 | 714 |
| Status | Accuracy | Program |
|---|---|---|
| 46.2% | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| ▶ | 47.8% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ▶ | 54.8% | (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
| ✓ | 46.2% | (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
| ▶ | 30.1% | (-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
| 32.6% | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| ✓ | 57.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ▶ | 6.4% | (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 46.1% | (-.f64 x (*.f64 x (*.f64 x x))) | |
| 4.2% | #s(literal 0 binary64) | |
| ▶ | 31.2% | #s(literal -1 binary64) |
Compiled 292 to 168 computations (42.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -9/4 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
| 10 360× | lower-fma.f32 |
| 10 352× | lower-fma.f64 |
| 3 724× | lower-+.f32 |
| 3 712× | lower-+.f64 |
| 2 262× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 244 |
| 0 | 60 | 230 |
| 1 | 103 | 230 |
| 2 | 170 | 230 |
| 3 | 526 | 230 |
| 4 | 3642 | 230 |
| 5 | 5629 | 230 |
| 6 | 7801 | 230 |
| 0 | 8240 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) |
(pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(literal 1/2 binary64) |
(+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(literal -1 binary64) |
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal -9/4 binary64) x) |
#s(literal -9/4 binary64) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(literal 1/2 binary64) |
(+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal -9/4 binary64) x) |
#s(literal -9/4 binary64) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 57.7% | (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
| ✓ | accuracy | 57.8% | (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
| ✓ | accuracy | 57.7% | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
| ✓ | accuracy | 57.2% | (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
| 50.0ms | 50× | 2 | valid |
| 47.0ms | 140× | 0 | valid |
| 40.0ms | 66× | 1 | valid |
Compiled 257 to 40 computations (84.4% saved)
ival-add: 26.0ms (24.3% of total)ival-div: 17.0ms (15.9% of total)ival-mult: 16.0ms (15% of total)ival-exp: 15.0ms (14% of total)adjust: 13.0ms (12.2% of total)const: 8.0ms (7.5% of total)ival-pow: 6.0ms (5.6% of total)ival-sub: 4.0ms (3.7% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))> |
#<alt (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))> |
#<alt (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))> |
#<alt (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))> |
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))> |
#<alt (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x)))> |
#<alt (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x))> |
#<alt (/.f64 #s(literal -9/4 binary64) x)> |
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))> |
#<alt (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))))> |
#<alt (- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))))> |
#<alt (- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))))> |
#<alt (- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))))> |
#<alt (- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))))> |
#<alt (- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))))> |
#<alt (- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))))> |
#<alt (- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 3/4 x)) x)> |
#<alt (/ (+ 1/2 (* x (+ 3/4 (* 7/24 x)))) x)> |
#<alt (/ (+ 1/2 (* x (+ 3/4 (* x (+ 7/24 (* -1/16 x)))))) x)> |
#<alt (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)))> |
#<alt (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)))> |
#<alt (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)))> |
#<alt (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)))> |
#<alt (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)))> |
#<alt (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)))> |
#<alt (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)))> |
#<alt (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 x)))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))> |
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2))> |
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2))> |
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2))> |
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2))> |
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2))> |
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2))> |
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2))> |
#<alt (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))> |
#<alt (+ 1/2 (* 1/2 (exp (* -2 x))))> |
#<alt (+ 1/2 (* 1/2 (exp (* -2 x))))> |
#<alt (+ 1/2 (* 1/2 (exp (* -2 x))))> |
#<alt (+ 1/2 (* 1/2 (exp (* -2 x))))> |
#<alt (+ 1/2 (* 1/2 (exp (* -2 x))))> |
#<alt (+ 1/2 (* 1/2 (exp (* -2 x))))> |
#<alt (+ 1/2 (* 1/2 (exp (* -2 x))))> |
#<alt (+ 1/2 (* 1/2 (exp (* -2 x))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt -1/3> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (/ -9/4 (pow x 4))> |
#<alt (/ (- (* -3/2 x) 9/4) (pow x 4))> |
#<alt (/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4))> |
#<alt (/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt (/ -9/4 (pow x 4))> |
#<alt (/ (- (* -3/2 x) 9/4) (pow x 4))> |
#<alt (/ (- (* -3/2 x) 9/4) (pow x 4))> |
#<alt (/ (- (* -3/2 x) 9/4) (pow x 4))> |
#<alt (/ -3/2 (pow x 3))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (/ -3/2 (pow x 3))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (/ -9/4 x)> |
#<alt (/ (- (* -3/2 x) 9/4) x)> |
#<alt (/ (- (* -3/2 x) 9/4) x)> |
#<alt (/ (- (* -3/2 x) 9/4) x)> |
#<alt -3/2> |
#<alt (* -1 (+ 3/2 (* 9/4 (/ 1 x))))> |
#<alt (* -1 (+ 3/2 (* 9/4 (/ 1 x))))> |
#<alt (* -1 (+ 3/2 (* 9/4 (/ 1 x))))> |
#<alt -3/2> |
#<alt (* -1 (+ 3/2 (* 9/4 (/ 1 x))))> |
#<alt (* -1 (+ 3/2 (* 9/4 (/ 1 x))))> |
#<alt (* -1 (+ 3/2 (* 9/4 (/ 1 x))))> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt (/ -9/4 x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 x))> |
#<alt (* x (+ 2 (* x (+ 1 (* -2/3 x)))))> |
#<alt (* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))> |
#<alt (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)> |
#<alt (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)> |
#<alt (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)> |
#<alt (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)> |
#<alt (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)> |
#<alt (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)> |
#<alt (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)> |
#<alt (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | (+ (* (/ (pow (+ (* (exp (* -2 x)) 1/2) 1/2) -2) (+ -1 (pow (+ (* (exp (* -2 x)) 1/2) 1/2) -2))) (+ -1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ 1 (+ (/ -2 (+ 1 (exp (* -2 x)))) -1))) |
| 6.0ms | x | @ | 0 | (- (/ (+ -3/2 (/ -9/4 x)) (* x (* x x))) 1) |
| 4.0ms | x | @ | -inf | (+ (* (/ (pow (+ (* (exp (* -2 x)) 1/2) 1/2) -2) (+ -1 (pow (+ (* (exp (* -2 x)) 1/2) 1/2) -2))) (+ -1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ 1 (+ (/ -2 (+ 1 (exp (* -2 x)))) -1))) |
| 1.0ms | x | @ | 0 | (+ (* (/ (pow (+ (* (exp (* -2 x)) 1/2) 1/2) -2) (+ -1 (pow (+ (* (exp (* -2 x)) 1/2) 1/2) -2))) (+ -1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ 1 (+ (/ -2 (+ 1 (exp (* -2 x)))) -1))) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 5 546× | lower-/.f32 |
| 5 534× | lower-/.f64 |
| 5 248× | lower-fma.f32 |
| 5 240× | lower-fma.f64 |
| 3 922× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 169 |
| 0 | 60 | 159 |
| 1 | 285 | 157 |
| 2 | 2627 | 157 |
| 0 | 9224 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) |
(pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
(*.f64 x (*.f64 x x)) |
(-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) |
(/.f64 #s(literal -9/4 binary64) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) |
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(fma.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -6 binary64))))) |
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(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -6 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))))) |
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(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))) |
| 1× | egg-herbie |
| 11 888× | lower-fma.f64 |
| 11 888× | lower-fma.f32 |
| 3 536× | lower-*.f64 |
| 3 536× | lower-*.f32 |
| 3 078× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 2025 |
| 1 | 370 | 1986 |
| 2 | 861 | 1692 |
| 3 | 2505 | 1580 |
| 4 | 7053 | 1568 |
| 0 | 8227 | 1458 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 3/4 x)) x) |
(/ (+ 1/2 (* x (+ 3/4 (* 7/24 x)))) x) |
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 7/24 (* -1/16 x)))))) x) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 x))) |
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x)))))) |
(/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) |
(/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) |
(/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) |
(/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) |
(/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) |
(/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) |
(/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) |
(/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1))) |
(+ 1/2 (* 1/2 (exp (* -2 x)))) |
(+ 1/2 (* 1/2 (exp (* -2 x)))) |
(+ 1/2 (* 1/2 (exp (* -2 x)))) |
(+ 1/2 (* 1/2 (exp (* -2 x)))) |
(+ 1/2 (* 1/2 (exp (* -2 x)))) |
(+ 1/2 (* 1/2 (exp (* -2 x)))) |
(+ 1/2 (* 1/2 (exp (* -2 x)))) |
(+ 1/2 (* 1/2 (exp (* -2 x)))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -9/4 (pow x 4)) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4)) |
(/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4)) |
-1 |
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
-1 |
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(/ -9/4 (pow x 4)) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/ -3/2 (pow x 3)) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/ -3/2 (pow x 3)) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/ -9/4 x) |
(/ (- (* -3/2 x) 9/4) x) |
(/ (- (* -3/2 x) 9/4) x) |
(/ (- (* -3/2 x) 9/4) x) |
-3/2 |
(* -1 (+ 3/2 (* 9/4 (/ 1 x)))) |
(* -1 (+ 3/2 (* 9/4 (/ 1 x)))) |
(* -1 (+ 3/2 (* 9/4 (/ 1 x)))) |
-3/2 |
(* -1 (+ 3/2 (* 9/4 (/ 1 x)))) |
(* -1 (+ 3/2 (* 9/4 (/ 1 x)))) |
(* -1 (+ 3/2 (* 9/4 (/ 1 x)))) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
(/ -9/4 x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2 x) |
(* x (+ 2 x)) |
(* x (+ 2 (* x (+ 1 (* -2/3 x))))) |
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3)))))) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(- (* 2 (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (* (+ 1 (exp (* -2 x))) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))))) (+ (/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 3/4 x)) x) |
(/.f64 (fma.f64 x #s(literal 3/4 binary64) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* x (+ 3/4 (* 7/24 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 7/24 binary64) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 7/24 (* -1/16 x)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 7/24 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) x) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(/ 1 (* (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2) (- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1))) |
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(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(* x (+ 2 (* x (+ 1 (* -2/3 x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3)))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(- (/ 1 (pow (+ 1/2 (* 1/2 (exp (* -2 x)))) 2)) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
Compiled 55 771 to 3 583 computations (93.6% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 311 | 4 | 1 315 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 314 | 12 | 1 326 |
| Status | Accuracy | Program |
|---|---|---|
| 46.2% | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| ✓ | 47.8% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | 54.8% | (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
| ✓ | 46.2% | (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
| ▶ | 30.0% | (/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
| ▶ | 48.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| ▶ | 30.1% | (-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
| ▶ | 32.6% | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | 57.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ✓ | 6.4% | (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 48.6% | x |
| ✓ | 31.2% | #s(literal -1 binary64) |
Compiled 253 to 150 computations (40.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x #s(literal 2 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 192 | (-.f64 x #s(literal 0 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 (*.f64 x x) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1024 | (/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
| 22 976× | lower-fma.f32 |
| 22 970× | lower-fma.f64 |
| 3 206× | lower-*.f32 |
| 3 198× | lower-*.f64 |
| 2 204× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 160 |
| 0 | 46 | 130 |
| 1 | 90 | 114 |
| 2 | 217 | 114 |
| 3 | 446 | 114 |
| 4 | 2237 | 114 |
| 0 | 8301 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
x |
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
(-.f64 (*.f64 x x) #s(literal 0 binary64)) |
(*.f64 x x) |
x |
#s(literal 0 binary64) |
(-.f64 x #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(+.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 (+.f64 x #s(literal 2 binary64)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) |
x |
(fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) |
(*.f64 x x) |
(+.f64 x x) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
x |
#s(literal -3/2 binary64) |
#s(literal -9/4 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
x |
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
x |
(-.f64 (*.f64 x x) #s(literal 0 binary64)) |
(*.f64 x x) |
(*.f64 x x) |
x |
#s(literal 0 binary64) |
(-.f64 x #s(literal 0 binary64)) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
x |
#s(literal 1 binary64) |
(/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 (+.f64 x #s(literal 2 binary64)) x) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) |
x |
(fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) |
(*.f64 x x) |
(+.f64 x x) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
x |
#s(literal -3/2 binary64) |
#s(literal -9/4 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 96.0% | (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 57.7% | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x #s(literal 2 binary64)) x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| ✓ | accuracy | 72.7% | (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x x) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 54.3% | (/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
| 27.0ms | 79× | 1 | valid |
| 24.0ms | 125× | 0 | valid |
| 23.0ms | 52× | 2 | valid |
Compiled 172 to 31 computations (82% saved)
ival-mult: 16.0ms (31.7% of total)adjust: 10.0ms (19.8% of total)ival-div: 10.0ms (19.8% of total)ival-add: 8.0ms (15.9% of total)ival-sub: 6.0ms (11.9% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))> |
#<alt (-.f64 (*.f64 x x) #s(literal 0 binary64))> |
#<alt (-.f64 x #s(literal 0 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))> |
#<alt (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))> |
#<alt (+.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (+.f64 x #s(literal 2 binary64)) x)> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))> |
#<alt (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))> |
#<alt (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))> |
#<alt (-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))> |
#<alt (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))> |
#<alt (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64))> |
#<alt (*.f64 x (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
| Outputs |
|---|
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 x)> |
#<alt (+ 2 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 x))> |
#<alt (* x (+ 2 x))> |
#<alt (* x (+ 2 x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 (* x (+ 1 x))))> |
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 (* -1 (pow x 2))))))))> |
#<alt -1> |
#<alt (- (/ 1 (pow x 4)) 1)> |
#<alt (- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) 1)> |
#<alt (- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) (+ 1 (/ 1 (pow x 8))))> |
#<alt -1> |
#<alt (- (/ 1 (pow x 4)) 1)> |
#<alt (- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) 1)> |
#<alt (- (+ (* -1 (/ (- (/ 1 x) 1) (pow x 7))) (/ 1 (pow x 4))) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 x)))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ (+ 1 (/ 1 (pow x 3))) (pow x 4))> |
#<alt (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 4))) (pow x 4))> |
#<alt (/ (- (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (/ 1 (pow x 4))) (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ (+ 1 (/ 1 (pow x 3))) (pow x 4))> |
#<alt (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) (pow x 3)))) (pow x 4))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) 1) (pow x 3)))) (pow x 4))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* x (- (* 2 (pow x 3)) 2)))> |
#<alt (+ 2 (* x (- (* 2 (pow x 3)) 2)))> |
#<alt (* 2 (pow x 4))> |
#<alt (* (pow x 4) (- 2 (* 2 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 4) (- (+ 2 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 4) (- (+ 2 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 3)))))> |
#<alt (* 2 (pow x 4))> |
#<alt (* (pow x 4) (- 2 (* 2 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3)))))> |
#<alt (* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3)))))> |
#<alt -2> |
#<alt (- (* 2 (pow x 3)) 2)> |
#<alt (- (* 2 (pow x 3)) 2)> |
#<alt (- (* 2 (pow x 3)) 2)> |
#<alt (* 2 (pow x 3))> |
#<alt (* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3)))))> |
#<alt (* 2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2)))> |
#<alt (* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2)))> |
#<alt (* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2)))> |
#<alt (/ -9/4 (pow x 4))> |
#<alt (/ (- (* -3/2 x) 9/4) (pow x 4))> |
#<alt (/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4))> |
#<alt (/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)> |
#<alt (/ -9/4 (pow x 4))> |
#<alt (/ (- (* -3/2 x) 9/4) (pow x 4))> |
#<alt (/ (- (* -3/2 x) 9/4) (pow x 4))> |
#<alt (/ (- (* -3/2 x) 9/4) (pow x 4))> |
#<alt (/ -3/2 (pow x 3))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (/ -3/2 (pow x 3))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))> |
#<alt -9/4> |
#<alt (- (* -3/2 x) 9/4)> |
#<alt (- (* -3/2 x) 9/4)> |
#<alt (- (* -3/2 x) 9/4)> |
#<alt (* -3/2 x)> |
#<alt (* -1 (* x (+ 3/2 (* 9/4 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 3/2 (* 9/4 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 3/2 (* 9/4 (/ 1 x)))))> |
#<alt (* -3/2 x)> |
#<alt (* -1 (* x (+ 3/2 (* 9/4 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 3/2 (* 9/4 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 3/2 (* 9/4 (/ 1 x)))))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (+ (* x -3/2) -9/4) (* x (* x (* x x)))) |
| 0.0ms | x | @ | inf | (- (/ 2 (+ (* x (+ (* (* x x) (+ x x)) -2)) 2)) 1) |
| 0.0ms | x | @ | 0 | (- (/ (+ (* x -3/2) -9/4) (* x (* x (* x x)))) 1) |
| 0.0ms | x | @ | -inf | (* (+ x 2) x) |
| 0.0ms | x | @ | -inf | (/ (+ x 2) (* (+ x 2) x)) |
| 1× | batch-egg-rewrite |
| 94× | lower-/.f32 |
| 84× | lower-/.f64 |
| 80× | lower-*.f32 |
| 72× | lower-*.f64 |
| 70× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 137 |
| 0 | 46 | 117 |
| 0 | 225 | 117 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
(-.f64 (*.f64 x x) #s(literal 0 binary64)) |
(-.f64 x #s(literal 0 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(+.f64 x #s(literal 2 binary64)) |
(*.f64 (+.f64 x #s(literal 2 binary64)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) |
(-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
x |
(+.f64 x #s(literal 0 binary64)) |
(-.f64 x #s(literal 0 binary64)) |
(-.f64 x (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(/.f64 (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
(-.f64 (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 x x #s(literal 0 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
x |
(+.f64 x #s(literal 0 binary64)) |
(-.f64 x #s(literal 0 binary64)) |
(-.f64 x (/.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(/.f64 (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
(-.f64 (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 x x #s(literal 0 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 x #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) x) |
(*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))) |
(+.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (fma.f64 x x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 x #s(literal 2 binary64))) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(*.f64 (+.f64 x #s(literal 2 binary64)) x) |
(+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)))) |
(+.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)))) #s(literal 4 binary64)) (-.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal -2 binary64)) |
(fma.f64 x (*.f64 x (+.f64 x x)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) |
(fma.f64 (+.f64 x x) (*.f64 x x) #s(literal -2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 x x)) (*.f64 (*.f64 x x) (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x x)) (*.f64 (*.f64 x x) (+.f64 x x))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal -2 binary64))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (+.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)))) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 #s(literal -9/4 binary64) (*.f64 x #s(literal -3/2 binary64))) |
(+.f64 (*.f64 x #s(literal -3/2 binary64)) #s(literal -9/4 binary64)) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(fma.f64 #s(literal -3/2 binary64) x #s(literal -9/4 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal -729/64 binary64)) (fma.f64 (*.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 81/16 binary64) (*.f64 (*.f64 x #s(literal -3/2 binary64)) #s(literal -9/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal 81/16 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) #s(literal -9/4 binary64))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
| 1× | egg-herbie |
| 9 956× | lower-fma.f64 |
| 9 956× | lower-fma.f32 |
| 3 422× | lower-*.f64 |
| 3 422× | lower-*.f32 |
| 1 588× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 979 |
| 1 | 327 | 975 |
| 2 | 845 | 958 |
| 3 | 2528 | 942 |
| 4 | 5998 | 934 |
| 0 | 8240 | 886 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
2 |
(+ 2 x) |
(+ 2 x) |
(+ 2 x) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* 2 x) |
(* x (+ 2 x)) |
(* x (+ 2 x)) |
(* x (+ 2 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 (* -1 (pow x 2)))))))) |
-1 |
(- (/ 1 (pow x 4)) 1) |
(- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) 1) |
(- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) (+ 1 (/ 1 (pow x 8)))) |
-1 |
(- (/ 1 (pow x 4)) 1) |
(- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) 1) |
(- (+ (* -1 (/ (- (/ 1 x) 1) (pow x 7))) (/ 1 (pow x 4))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(/ 1 (pow x 4)) |
(/ (+ 1 (/ 1 (pow x 3))) (pow x 4)) |
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 4))) (pow x 4)) |
(/ (- (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (/ 1 (pow x 4))) (pow x 4)) |
(/ 1 (pow x 4)) |
(/ (+ 1 (/ 1 (pow x 3))) (pow x 4)) |
(/ (+ 1 (* -1 (/ (- (/ 1 x) 1) (pow x 3)))) (pow x 4)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) 1) (pow x 3)))) (pow x 4)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 (pow x 3)) 2))) |
(+ 2 (* x (- (* 2 (pow x 3)) 2))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 (pow x 3))))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 3))))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 3))))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 (pow x 3))))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3))))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3))))) |
-2 |
(- (* 2 (pow x 3)) 2) |
(- (* 2 (pow x 3)) 2) |
(- (* 2 (pow x 3)) 2) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3))))) |
(* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3))))) |
(* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3))))) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2))) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2))) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2))) |
(/ -9/4 (pow x 4)) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4)) |
(/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4)) |
-1 |
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
-1 |
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(/ -9/4 (pow x 4)) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/ -3/2 (pow x 3)) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/ -3/2 (pow x 3)) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
-9/4 |
(- (* -3/2 x) 9/4) |
(- (* -3/2 x) 9/4) |
(- (* -3/2 x) 9/4) |
(* -3/2 x) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(* -3/2 x) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 x #s(literal 2 binary64)) |
(+ 2 x) |
(+.f64 x #s(literal 2 binary64)) |
(+ 2 x) |
(+.f64 x #s(literal 2 binary64)) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 x #s(literal 2 binary64)) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 x #s(literal 2 binary64)) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 x #s(literal 2 binary64)) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 x #s(literal 2 binary64)) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 x #s(literal 2 binary64)) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 x)) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(* x (+ 2 x)) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(* x (+ 2 x)) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 2 binary64))) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 x (fma.f64 x x x) x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 (* -1 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (-.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) x) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 (pow x 4)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) 1) |
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) (+ 1 (/ 1 (pow x 8)))) |
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 7 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 (pow x 4)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(- (+ (/ 1 (pow x 4)) (/ 1 (pow x 7))) 1) |
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(- (+ (* -1 (/ (- (/ 1 x) 1) (pow x 7))) (/ 1 (pow x 4))) 1) |
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 7 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 x))) |
(+.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 1 (/ 1 (pow x 3))) (pow x 4)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 4))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (/ 1 (pow x 4))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 1 (/ 1 (pow x 3))) (pow x 4)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 1 (* -1 (/ (- (/ 1 x) 1) (pow x 3)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) 1) (pow x 3)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 (pow x 3)) 2))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 (pow x 3)) 2))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(* 2 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 2 (* 2 (/ 1 (pow x 3))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 3))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 3))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(* 2 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 2 (* 2 (/ 1 (pow x 3))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (pow x 3)) 2) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(- (* 2 (pow x 3)) 2) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(- (* 2 (pow x 3)) 2) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(* 2 (pow x 3)) |
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(* (pow x 3) (- 2 (* 2 (/ 1 (pow x 3))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(* 2 (pow x 3)) |
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) 2))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/ -9/4 (pow x 4)) |
(/.f64 #s(literal -9/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4)) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (- (* -1 (pow x 3)) 3/2)) 9/4) (pow x 4)) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x)))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3))))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x)))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ -9/4 (pow x 4)) |
(/.f64 #s(literal -9/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -3/2 x) 9/4) (pow x 4)) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -3/2 (pow x 3)) |
(/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -3/2 (pow x 3)) |
(/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) |
(/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
-9/4 |
#s(literal -9/4 binary64) |
(- (* -3/2 x) 9/4) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(- (* -3/2 x) 9/4) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(- (* -3/2 x) 9/4) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(* -3/2 x) |
(*.f64 x #s(literal -3/2 binary64)) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(* -3/2 x) |
(*.f64 x #s(literal -3/2 binary64)) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(* -1 (* x (+ 3/2 (* 9/4 (/ 1 x))))) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 4 264 to 412 computations (90.3% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 7 | 314 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 309 | 17 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| 46.2% | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| ✓ | 47.8% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | 54.8% | (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
| ✓ | 46.2% | (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
| 8.3% | (/.f64 (fma.f64 x (-.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 30.0% | (/.f64 (*.f64 x x) x) | |
| 50.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) | |
| 30.0% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) | |
| 48.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 30.1% | (-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
| ✓ | 32.6% | (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | 57.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 30.1% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) | |
| ✓ | 6.4% | (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 29.9% | (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 48.6% | x |
| ✓ | 31.2% | #s(literal -1 binary64) |
Compiled 543 to 230 computations (57.6% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 0 binary64) |
x |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x x) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
| Outputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
7 calls:
| 8.0ms | (*.f64 #s(literal -2 binary64) x) |
| 8.0ms | y |
| 8.0ms | x |
| 7.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 6.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 65.3% | 3 | y |
| 100.0% | 3 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 100.0% | 3 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 100.0% | 3 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 100.0% | 3 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 100.0% | 3 | (*.f64 #s(literal -2 binary64) x) |
Compiled 47 to 39 computations (17% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 0 binary64) |
x |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x x) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
6 calls:
| 8.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 7.0ms | (*.f64 #s(literal -2 binary64) x) |
| 7.0ms | x |
| 6.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 6.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 3 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 100.0% | 3 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 100.0% | 3 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 100.0% | 3 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 100.0% | 3 | (*.f64 #s(literal -2 binary64) x) |
Compiled 44 to 37 computations (15.9% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 0 binary64) |
x |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x x) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (fma.f64 x #s(literal -3/2 binary64) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -9/4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) |
6 calls:
| 28.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 7.0ms | (*.f64 #s(literal -2 binary64) x) |
| 7.0ms | x |
| 6.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 6.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 2 | x |
| 78.7% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 78.7% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 78.7% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 78.7% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 78.7% | 2 | (*.f64 #s(literal -2 binary64) x) |
Compiled 44 to 37 computations (15.9% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 0 binary64) |
x |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x x) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
x |
#s(literal -1 binary64) |
6 calls:
| 6.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 5.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 5.0ms | (*.f64 #s(literal -2 binary64) x) |
| 5.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 76.0% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 76.0% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 76.0% | 2 | x |
| 76.0% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 76.0% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
Compiled 44 to 37 computations (15.9% saved)
Total -18.2b remaining (-41.4%)
Threshold costs -18.2b (-41.4%)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
7 calls:
| 2.0ms | (*.f64 #s(literal -2 binary64) x) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 1.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.2% | 1 | y |
| 31.2% | 1 | x |
| 31.2% | 1 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 31.2% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 31.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 31.2% | 1 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 31.2% | 1 | (*.f64 #s(literal -2 binary64) x) |
Compiled 47 to 39 computations (17% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00010394288662843318 | 3.7770702785011956 |
| 0.0ms | -1.5248588570914923 | -9.918540417575097e-12 |
Compiled 15 to 15 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00010394288662843318 | 3.7770702785011956 |
| 0.0ms | -1.5248588570914923 | -9.918540417575097e-12 |
Compiled 15 to 15 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.044754883416187274 | 0.9999480285567326 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00010394288662843318 | 3.7770702785011956 |
Compiled 15 to 15 computations (0% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 144 |
| 1 | 51 | 144 |
| 2 | 54 | 144 |
| 3 | 58 | 144 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| 15 342× | lower-fma.f64 |
| 15 342× | lower-fma.f32 |
| 9 956× | lower-fma.f64 |
| 9 956× | lower-fma.f32 |
| 9 664× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 2319 |
| 1 | 764 | 2251 |
| 2 | 2045 | 2218 |
| 3 | 6329 | 2022 |
| 0 | 8452 | 1895 |
| 0 | 49 | 394 |
| 1 | 119 | 394 |
| 2 | 234 | 384 |
| 3 | 604 | 384 |
| 4 | 1194 | 384 |
| 5 | 1764 | 384 |
| 6 | 2024 | 384 |
| 7 | 2599 | 384 |
| 8 | 3669 | 384 |
| 9 | 5745 | 384 |
| 10 | 6685 | 384 |
| 11 | 7091 | 384 |
| 12 | 7233 | 384 |
| 13 | 7295 | 384 |
| 14 | 7337 | 384 |
| 0 | 8101 | 363 |
| 0 | 33 | 169 |
| 0 | 60 | 159 |
| 1 | 285 | 157 |
| 2 | 2627 | 157 |
| 0 | 9224 | 156 |
| 0 | 37 | 222 |
| 0 | 73 | 216 |
| 1 | 328 | 216 |
| 0 | 2864 | 208 |
| 0 | 119 | 979 |
| 1 | 327 | 975 |
| 2 | 845 | 958 |
| 3 | 2528 | 942 |
| 4 | 5998 | 934 |
| 0 | 8240 | 886 |
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 53 | 31 |
| 2 | 371 | 31 |
| 3 | 5969 | 31 |
| 0 | 8136 | 31 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 258 to 117 computations (54.7% saved)
(abs y)
Compiled 468 to 154 computations (67.1% saved)
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