
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 3 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 4 |
| 87.5% | 43.7% | 6.2% | 50% | 0% | 0% | 0% | 5 |
| 93.8% | 46.9% | 3.1% | 50% | 0% | 0% | 0% | 6 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 7 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 8 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 9 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 10 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 11 |
| 99.9% | 49.9% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 29 to 13 computations (55.2% saved)
| 949.0ms | 8 256× | 0 | valid |
ival-mult: 447.0ms (67.6% of total)ival-div: 97.0ms (14.7% of total)ival->: 65.0ms (9.8% of total)ival-sub: 36.0ms (5.4% of total)exact: 12.0ms (1.8% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 7 204× | lower-fma.f64 |
| 7 204× | lower-fma.f32 |
| 5 094× | lower-*.f32 |
| 5 086× | lower-*.f64 |
| 3 164× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 55 | 43 |
| 2 | 350 | 26 |
| 3 | 2861 | 26 |
| 4 | 7636 | 26 |
| 0 | 10 | 25 |
| 0 | 17 | 21 |
| 1 | 45 | 19 |
| 2 | 187 | 13 |
| 3 | 1060 | 13 |
| 4 | 3649 | 11 |
| 5 | 5292 | 11 |
| 6 | 7322 | 11 |
| 0 | 8036 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
(abs i)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 205 | 0 | - | 2 | (7.046684940760757e-79) | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 74 | 0 | - | 0 | - | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
| 0 | 0 | - | 0 | - | (*.f64 i i) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 i i) (*.f64 i i)) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | i |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) i) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/o | 74 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 110 | |
| ↳ | (*.f64 i i) | overflow | 148 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 74 | |
/.f64 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | o/o | 74 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 110 | |
| ↳ | (*.f64 i i) | overflow | 148 | |
| ↳ | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | overflow | 74 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 74 | |
| ↳ | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | overflow | 74 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 74 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/u | 62 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 93 | |
| ↳ | (*.f64 i i) | underflow | 124 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | underflow | 62 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/n | 36 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 110 | |
| ↳ | (*.f64 i i) | overflow | 148 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/n | 31 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 93 | |
| ↳ | (*.f64 i i) | underflow | 124 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 203 | 2 |
| - | 0 | 51 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 203 | 0 | 2 |
| - | 0 | 0 | 51 |
| number | freq |
|---|---|
| 0 | 53 |
| 1 | 129 |
| 2 | 74 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 200 to 44 computations (78% saved)
ival-mult: 13.0ms (58.4% of total)ival-div: 6.0ms (27% of total)ival-sub: 2.0ms (9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 22.1% | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 26 to 10 computations (61.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
| ✓ | cost-diff | 320 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1664 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 7 204× | lower-fma.f64 |
| 7 204× | lower-fma.f32 |
| 5 094× | lower-*.f32 |
| 5 086× | lower-*.f64 |
| 3 164× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 72 |
| 0 | 17 | 62 |
| 1 | 45 | 56 |
| 2 | 187 | 42 |
| 3 | 1060 | 42 |
| 4 | 3649 | 40 |
| 5 | 5292 | 40 |
| 6 | 7322 | 40 |
| 0 | 8036 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 i i) |
i |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(*.f64 i i) |
i |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 i #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) i) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 i i) (*.f64 i i)) |
| ✓ | accuracy | 72.0% | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| ✓ | accuracy | 28.7% | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 17.0ms | 256× | 0 | valid |
Compiled 74 to 12 computations (83.8% saved)
ival-mult: 5.0ms (50% of total)ival-div: 3.0ms (30% of total)ival-sub: 1.0ms (10% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))> |
#<alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))> |
#<alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))> |
#<alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))> |
#<alt (*.f64 (*.f64 i i) (*.f64 i i))> |
#<alt (*.f64 #s(literal 2 binary64) i)> |
| Outputs |
|---|
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt -1> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (* 4 (pow i 2))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* 4 (pow i 2))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | 0 | (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) |
| 1.0ms | i | @ | inf | (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
| 0.0ms | i | @ | inf | (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) |
| 0.0ms | i | @ | -inf | (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) |
| 0.0ms | i | @ | -inf | (* (* i i) (* i i)) |
| 1× | batch-egg-rewrite |
| 5 018× | lower-*.f32 |
| 5 010× | lower-*.f64 |
| 4 240× | lower-/.f32 |
| 4 236× | lower-/.f64 |
| 3 978× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 66 |
| 0 | 17 | 50 |
| 1 | 75 | 44 |
| 2 | 653 | 32 |
| 0 | 8740 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 #s(literal 2 binary64) i) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))) (log.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) |
(neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) |
(/.f64 i (/.f64 #s(literal 4 binary64) i)) |
(/.f64 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) |
(/.f64 (*.f64 i i) #s(literal 4 binary64)) |
(/.f64 (*.f64 i i) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64)))) |
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) #s(literal -4 binary64))) |
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)) (*.f64 i #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 i #s(literal -2 binary64)))) |
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) |
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/2 binary64)) (*.f64 i #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 i i)) #s(literal -4 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i))) |
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) i)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (*.f64 i (*.f64 i i)))) |
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(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))))) (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i)))) |
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))) |
(neg.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))) |
(pow.f64 i #s(literal 4 binary64)) |
(pow.f64 (*.f64 i i) #s(literal 2 binary64)) |
(pow.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64)) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(*.f64 i (neg.f64 (neg.f64 (*.f64 i (*.f64 i i))))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 (*.f64 i i) (neg.f64 (neg.f64 (*.f64 i i)))) |
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))) |
(*.f64 (*.f64 i (*.f64 i i)) i) |
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i))) |
(*.f64 (neg.f64 (*.f64 i i)) (neg.f64 (*.f64 i i))) |
(*.f64 (neg.f64 i) (neg.f64 (*.f64 i (*.f64 i i)))) |
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (neg.f64 i)) |
(*.f64 (neg.f64 (neg.f64 (*.f64 i i))) (*.f64 i i)) |
(*.f64 (neg.f64 (neg.f64 i)) (*.f64 i (*.f64 i i))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))) i) |
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i)) |
(/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) i) |
(/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) (neg.f64 i)) |
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 i #s(literal 2 binary64)) |
(*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64))) |
(*.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 15 408× | lower-fma.f64 |
| 15 408× | lower-fma.f32 |
| 3 874× | lower-*.f64 |
| 3 874× | lower-*.f32 |
| 1 628× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 401 |
| 1 | 96 | 401 |
| 2 | 220 | 400 |
| 3 | 504 | 396 |
| 4 | 1045 | 396 |
| 5 | 2097 | 396 |
| 6 | 4072 | 396 |
| 7 | 6268 | 396 |
| 0 | 8056 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
| Outputs |
|---|
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
Compiled 23 299 to 1 900 computations (91.8% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 850 | 6 | 856 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 851 | 6 | 857 |
| Status | Accuracy | Program |
|---|---|---|
| 71.1% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| ▶ | 51.9% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ▶ | 48.6% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ▶ | 48.5% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ▶ | 52.4% | #s(literal 1/16 binary64) |
Compiled 98 to 68 computations (30.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
| ✓ | cost-diff | 0 | (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | cost-diff | 0 | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | cost-diff | 0 | (*.f64 i #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) (*.f64 i i)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| 808× | lower-fma.f64 |
| 808× | lower-fma.f32 |
| 536× | lower-*.f32 |
| 526× | lower-*.f64 |
| 184× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 83 |
| 0 | 29 | 83 |
| 1 | 49 | 83 |
| 2 | 77 | 83 |
| 3 | 125 | 83 |
| 4 | 189 | 83 |
| 5 | 249 | 83 |
| 6 | 345 | 83 |
| 7 | 513 | 83 |
| 8 | 647 | 83 |
| 9 | 729 | 83 |
| 10 | 884 | 83 |
| 11 | 1035 | 83 |
| 12 | 1117 | 83 |
| 13 | 1187 | 83 |
| 14 | 1276 | 83 |
| 15 | 1329 | 83 |
| 16 | 1342 | 83 |
| 17 | 1346 | 83 |
| 18 | 1346 | 83 |
| 0 | 1346 | 83 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
#s(literal 16 binary64) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
#s(literal 4 binary64) |
(*.f64 i i) |
i |
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
i |
(*.f64 i #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
i |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
#s(literal 1/16 binary64) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
#s(literal 1/64 binary64) |
(*.f64 i i) |
i |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
#s(literal 16 binary64) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
#s(literal 4 binary64) |
(*.f64 i i) |
i |
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
i |
(*.f64 i #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
i |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
#s(literal 1/16 binary64) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
#s(literal 1/64 binary64) |
(*.f64 i i) |
i |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 100.0% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | accuracy | 99.9% | (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | accuracy | 100.0% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 i #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 4 binary64) (*.f64 i i)) |
| 77.0ms | 256× | 0 | valid |
Compiled 85 to 20 computations (76.5% saved)
ival-div: 38.0ms (76.2% of total)ival-mult: 7.0ms (14% of total)ival-sub: 2.0ms (4% of total)ival-add: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))> |
#<alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))> |
#<alt (/.f64 #s(literal 4 binary64) (*.f64 i i))> |
#<alt (*.f64 i i)> |
#<alt (*.f64 i (*.f64 i #s(literal -1/4 binary64)))> |
#<alt (*.f64 i #s(literal -1/4 binary64))> |
#<alt (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))> |
#<alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))> |
#<alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i))> |
#<alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))> |
#<alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i))> |
| Outputs |
|---|
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt (/ -4 (pow i 2))> |
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))> |
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))> |
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))> |
#<alt 16> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt 16> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1/4 i)> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* -1 (pow i 3))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 3))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt -1/4> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (* -1 (pow i 2))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 2))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))> |
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))> |
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | 0 | (/ 1 (- 16 (/ 4 (* i i)))) |
| 1.0ms | i | @ | inf | (* i (* i (- -1/4 (* i i)))) |
| 0.0ms | i | @ | -inf | (* i (* i (- -1/4 (* i i)))) |
| 0.0ms | i | @ | 0 | (/ 1/64 (* i i)) |
| 0.0ms | i | @ | inf | (* i (* i -1/4)) |
| 1× | batch-egg-rewrite |
| 4 790× | lower-fma.f64 |
| 4 790× | lower-fma.f32 |
| 4 402× | lower-*.f32 |
| 4 392× | lower-*.f64 |
| 3 966× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 65 |
| 0 | 29 | 65 |
| 1 | 113 | 65 |
| 2 | 755 | 65 |
| 0 | 8514 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(*.f64 i i) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i #s(literal -1/4 binary64)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) #s(literal 256 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) #s(literal 256 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 #s(literal 64 binary64) (*.f64 i i)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) #s(literal 16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) #s(literal 16 binary64))) |
(+.f64 (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))))) |
(+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)))) |
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))))) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) |
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64)) |
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i)) |
(*.f64 (pow.f64 (*.f64 i (*.f64 i #s(literal 64 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 i (*.f64 i #s(literal 64 binary64))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 18 308× | lower-fma.f64 |
| 18 308× | lower-fma.f32 |
| 3 654× | lower-*.f64 |
| 3 654× | lower-*.f32 |
| 1 942× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 824 |
| 1 | 163 | 824 |
| 2 | 476 | 760 |
| 3 | 1522 | 756 |
| 4 | 5180 | 756 |
| 5 | 7590 | 756 |
| 0 | 8579 | 750 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(/ -4 (pow i 2)) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
16 |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
16 |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1/4 i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* -1 (pow i 3)) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 3)) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
-1/4 |
(- (* -1 (pow i 2)) 1/4) |
(- (* -1 (pow i 2)) 1/4) |
(- (* -1 (pow i 2)) 1/4) |
(* -1 (pow i 2)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 2)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(/ 1/64 (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))) #s(literal -1/4 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
16 |
#s(literal 16 binary64) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
16 |
#s(literal 16 binary64) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (pow i 3)) |
(neg.f64 (*.f64 i (*.f64 i i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (pow i 3)) |
(neg.f64 (*.f64 i (*.f64 i i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (pow i 2)) |
(*.f64 i (neg.f64 i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (pow i 2)) |
(*.f64 i (neg.f64 i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
Compiled 13 888 to 1 489 computations (89.3% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 655 | 2 | 657 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 656 | 7 | 663 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.1% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| ✓ | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| ✓ | 51.9% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ▶ | 48.6% | (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
| ▶ | 48.6% | (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
| ✓ | 48.5% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | 52.4% | #s(literal 1/16 binary64) |
Compiled 61 to 40 computations (34.4% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
| ✓ | cost-diff | 0 | (neg.f64 i) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) |
| 896× | lower-fma.f32 |
| 892× | lower-fma.f64 |
| 672× | lower-*.f32 |
| 662× | lower-*.f64 |
| 290× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 79 |
| 0 | 27 | 81 |
| 1 | 60 | 75 |
| 2 | 115 | 75 |
| 3 | 167 | 75 |
| 4 | 209 | 75 |
| 5 | 265 | 75 |
| 6 | 438 | 75 |
| 7 | 693 | 75 |
| 8 | 1036 | 75 |
| 9 | 1298 | 75 |
| 10 | 1857 | 75 |
| 11 | 1956 | 75 |
| 12 | 1991 | 75 |
| 13 | 2005 | 75 |
| 14 | 2010 | 75 |
| 0 | 2010 | 75 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
i |
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i i) |
(neg.f64 i) |
(*.f64 i #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(*.f64 i i) |
i |
#s(literal 1/4 binary64) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
i |
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))) |
(*.f64 i i) |
(neg.f64 i) |
(*.f64 i #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(fma.f64 i (neg.f64 i) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(*.f64 i i) |
i |
#s(literal 1/4 binary64) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 72.0% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
| ✓ | accuracy | 100.0% | (*.f64 i #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 i) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
| 34.0ms | 256× | 0 | valid |
Compiled 85 to 19 computations (77.6% saved)
ival-mult: 10.0ms (60.9% of total)ival-div: 2.0ms (12.2% of total)ival-add: 2.0ms (12.2% of total)ival-sub: 1.0ms (6.1% of total)ival-neg: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))> |
#<alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))> |
#<alt (*.f64 i i)> |
#<alt (neg.f64 i)> |
#<alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))> |
#<alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i))> |
#<alt (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))> |
#<alt (*.f64 (*.f64 i i) #s(literal 1/4 binary64))> |
#<alt (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))> |
#<alt (*.f64 i #s(literal -1/4 binary64))> |
| Outputs |
|---|
#<alt (* -1/4 i)> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* -1 (pow i 3))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 3))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt -1/4> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (* -1 (pow i 2))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 2))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt -1> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (* 4 (pow i 2))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* 4 (pow i 2))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | 0 | (* i (+ (* (* i i) (neg i)) (* i -1/4))) |
| 1.0ms | i | @ | -inf | (* i (+ (* (* i i) (neg i)) (* i -1/4))) |
| 1.0ms | i | @ | inf | (* i (+ (* (* i i) (neg i)) (* i -1/4))) |
| 0.0ms | i | @ | inf | (* (- -1/4 (* i i)) (* i i)) |
| 0.0ms | i | @ | 0 | (+ (* (* i i) (neg i)) (* i -1/4)) |
| 1× | batch-egg-rewrite |
| 7 650× | lower-fma.f32 |
| 7 646× | lower-fma.f64 |
| 4 986× | lower-*.f32 |
| 4 976× | lower-*.f64 |
| 2 834× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 65 |
| 0 | 27 | 67 |
| 1 | 109 | 61 |
| 2 | 749 | 61 |
| 3 | 6691 | 61 |
| 0 | 8204 | 61 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
(*.f64 i i) |
(neg.f64 i) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
(*.f64 i #s(literal -1/4 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 i #s(literal -1/4 binary64)) (neg.f64 (*.f64 i (*.f64 i i)))) |
(+.f64 (neg.f64 (*.f64 i (*.f64 i i))) (*.f64 i #s(literal -1/4 binary64))) |
(+.f64 (*.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i i)) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 i #s(literal -1/4 binary64)) (*.f64 i (*.f64 i i))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))) |
(-.f64 (*.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i i)) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) |
(-.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) (*.f64 i (*.f64 i i))) |
(fma.f64 i #s(literal -1/4 binary64) (neg.f64 (*.f64 i (*.f64 i i)))) |
(fma.f64 i (neg.f64 (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64))) |
(fma.f64 i (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))) |
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i i)) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))) |
(fma.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))) |
(fma.f64 (neg.f64 i) (*.f64 i i) (*.f64 i #s(literal -1/4 binary64))) |
(fma.f64 (neg.f64 i) #s(literal 1/4 binary64) (neg.f64 (*.f64 i (*.f64 i i)))) |
(fma.f64 (neg.f64 i) (/.f64 (*.f64 i (neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))) |
(fma.f64 #s(literal -1/4 binary64) i (neg.f64 (*.f64 i (*.f64 i i)))) |
(fma.f64 #s(literal 1/4 binary64) (neg.f64 i) (neg.f64 (*.f64 i (*.f64 i i)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 i #s(literal 1/4 binary64)) (neg.f64 (*.f64 i (*.f64 i i)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64))) |
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(/.f64 (-.f64 (*.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i i)))) #s(literal 262144 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64)))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 256 binary64) (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 256 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64)))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))) (fma.f64 i (/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i i)))) #s(literal 262144 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 256 binary64) (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 256 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))))) |
(*.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 256 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal 64 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 i i) #s(literal -4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal 1/4 binary64))) |
(neg.f64 (*.f64 i #s(literal 1/4 binary64))) |
(*.f64 i #s(literal -1/4 binary64)) |
(*.f64 (neg.f64 i) #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) i) |
(*.f64 #s(literal 1/4 binary64) (neg.f64 i)) |
(*.f64 #s(literal -1 binary64) (*.f64 i #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 12 614× | lower-fma.f64 |
| 12 614× | lower-fma.f32 |
| 3 362× | lower-*.f64 |
| 3 362× | lower-*.f32 |
| 1 668× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 717 |
| 1 | 153 | 717 |
| 2 | 438 | 680 |
| 3 | 1350 | 676 |
| 4 | 4972 | 676 |
| 5 | 7586 | 676 |
| 0 | 8514 | 664 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* -1 (pow i 3)) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 3)) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
-1/4 |
(- (* -1 (pow i 2)) 1/4) |
(- (* -1 (pow i 2)) 1/4) |
(- (* -1 (pow i 2)) 1/4) |
(* -1 (pow i 2)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 2)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
| Outputs |
|---|
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (pow i 3)) |
(*.f64 i (*.f64 i (neg.f64 i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (pow i 3)) |
(*.f64 i (*.f64 i (neg.f64 i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (pow i 4)) |
(*.f64 i (*.f64 i (*.f64 i (neg.f64 i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (pow i 4)) |
(*.f64 i (*.f64 i (*.f64 i (neg.f64 i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (pow i 4)) |
(*.f64 i (*.f64 i (*.f64 i (neg.f64 i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (pow i 4)) |
(*.f64 i (*.f64 i (*.f64 i (neg.f64 i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (pow i 2)) |
(*.f64 i (neg.f64 i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (pow i 2)) |
(*.f64 i (neg.f64 i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
Compiled 24 171 to 1 987 computations (91.8% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 026 | 0 | 1 026 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 1 026 | 7 | 1 033 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 71.1% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| ✓ | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| ✓ | 51.9% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | 48.6% | (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
| ✓ | 48.6% | (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
| ✓ | 48.5% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | 52.4% | #s(literal 1/16 binary64) |
Compiled 150 to 74 computations (50.7% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
2 calls:
| 3.0ms | i |
| 3.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | i |
| 99.7% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 28 to 11 computations (60.7% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
| Outputs |
|---|
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
2 calls:
| 2.0ms | i |
| 2.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | i |
| 75.9% | 2 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 28 to 11 computations (60.7% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
1 calls:
| 3.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | i |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
#s(literal 1/16 binary64) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | i |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| Outputs |
|---|
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
#s(literal 1/16 binary64) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | i |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| Outputs |
|---|
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
#s(literal 1/16 binary64) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | i |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1/16 binary64) |
| Outputs |
|---|
#s(literal 1/16 binary64) |
2 calls:
| 1.0ms | i |
| 1.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| 52.4% | 1 | i |
Compiled 28 to 11 computations (60.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.01800142591773212 | 419411.04353366507 |
| 8.0ms | 144× | 0 | valid |
Compiled 227 to 149 computations (34.4% saved)
ival-mult: 3.0ms (52.3% of total)ival-div: 2.0ms (34.9% of total)ival-sub: 1.0ms (17.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.01800142591773212 | 419411.04353366507 |
Compiled 209 to 131 computations (37.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.01800142591773212 | 419411.04353366507 |
Compiled 155 to 95 computations (38.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 0.01800142591773212 | 419411.04353366507 |
Compiled 155 to 104 computations (32.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.01800142591773212 | 419411.04353366507 |
Compiled 119 to 86 computations (27.7% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 90 |
| 1 | 48 | 90 |
| 2 | 60 | 90 |
| 3 | 67 | 90 |
| 4 | 71 | 90 |
| 5 | 72 | 90 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) #s(literal 1/16 binary64)) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64)) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) #s(literal 1/16 binary64)) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal 1/16 binary64)) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64)) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
| 15 408× | lower-fma.f64 |
| 15 408× | lower-fma.f32 |
| 5 018× | lower-*.f32 |
| 5 010× | lower-*.f64 |
| 4 790× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 401 |
| 1 | 96 | 401 |
| 2 | 220 | 400 |
| 3 | 504 | 396 |
| 4 | 1045 | 396 |
| 5 | 2097 | 396 |
| 6 | 4072 | 396 |
| 7 | 6268 | 396 |
| 0 | 8056 | 384 |
| 0 | 10 | 66 |
| 0 | 17 | 50 |
| 1 | 75 | 44 |
| 2 | 653 | 32 |
| 0 | 8740 | 30 |
| 0 | 18 | 65 |
| 0 | 29 | 65 |
| 1 | 113 | 65 |
| 2 | 755 | 65 |
| 0 | 8514 | 62 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 193 to 94 computations (51.3% saved)
(abs i)
Compiled 254 to 94 computations (63% saved)
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