
Time bar (total: 5.6s)
| 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)
| 856.0ms | 8 256× | 0 | valid |
ival-mult: 290.0ms (46.5% of total)ival->: 137.0ms (21.9% of total)ival-div: 104.0ms (16.7% of total)ival-sub: 79.0ms (12.7% of total)...in/eval/compile.rkt:110:19: 11.0ms (1.8% of total)ival-assert: 4.0ms (0.6% of total)| 2× | egg-herbie |
| 7 204× | accelerator-lowering-fma.f32 |
| 7 204× | accelerator-lowering-fma.f64 |
| 5 094× | *-lowering-*.f32 |
| 5 094× | *-lowering-*.f64 |
| 3 164× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 64 |
| 1 | 84 | 58 |
| 2 | 559 | 39 |
| 3 | 4330 | 39 |
| 0 | 10 | 21 |
| 1 | 38 | 19 |
| 2 | 178 | 13 |
| 3 | 1053 | 13 |
| 4 | 3631 | 11 |
| 5 | 5272 | 11 |
| 6 | 7303 | 11 |
| 0 | 8016 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
| Outputs |
|---|
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
| Inputs |
|---|
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)) |
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))) |
| Outputs |
|---|
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
(* (* i i) (/ 1/4 (- -1 (* (* i i) -4)))) |
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)) |
(* (* i i) (/ 1/4 (- -1 (* (* i i) -4)))) |
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))) |
(* (* i i) (/ 1/4 (+ 1 (* (* i i) -4)))) |
(abs i)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 204 | 0 | - | 3 | (1.6360891041648556e-78) | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 59 | 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))) | u/u | 65 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 107 | |
| ↳ | (*.f64 i i) | underflow | 130 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | underflow | 65 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/o | 59 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 95 | |
| ↳ | (*.f64 i i) | overflow | 118 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 59 | |
/.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 | 59 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 95 | |
| ↳ | (*.f64 i i) | overflow | 118 | |
| ↳ | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | overflow | 59 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 59 | |
| ↳ | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | overflow | 59 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 59 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/n | 41 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 107 | |
| ↳ | (*.f64 i i) | underflow | 130 | |
/.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 | 95 | |
| ↳ | (*.f64 i i) | overflow | 118 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 201 | 3 |
| - | 0 | 52 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 201 | 0 | 3 |
| - | 0 | 0 | 52 |
| number | freq |
|---|---|
| 0 | 55 |
| 1 | 142 |
| 2 | 59 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 90.0ms | 512× | 0 | valid |
Compiled 200 to 44 computations (78% saved)
ival-div: 28.0ms (65.1% of total)ival-mult: 12.0ms (27.9% of total)ival-sub: 2.0ms (4.7% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.5% | (/.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 | 0 | (*.f64 (*.f64 i i) (*.f64 i i)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
| ✓ | cost-diff | 128 | (/.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 | 512 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 7 204× | accelerator-lowering-fma.f32 |
| 7 204× | accelerator-lowering-fma.f64 |
| 5 094× | *-lowering-*.f32 |
| 5 094× | *-lowering-*.f64 |
| 3 164× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 62 |
| 1 | 38 | 56 |
| 2 | 178 | 42 |
| 3 | 1053 | 42 |
| 4 | 3631 | 40 |
| 5 | 5272 | 40 |
| 6 | 7303 | 40 |
| 0 | 8016 | 38 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) |
(* (* i i) (* i i)) |
(* i i) |
i |
(* (* 2 i) (* 2 i)) |
(* 2 i) |
2 |
(- (* (* 2 i) (* 2 i)) 1) |
1 |
| Outputs |
|---|
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) |
(/.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (* i i) (* i i)) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(* i i) |
(*.f64 i i) |
i |
(* (* 2 i) (* 2 i)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (* (* 2 i) (* 2 i)) 1) |
(+.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)) |
1 |
#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 | 77.7% | (/.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 | 29.0% | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 22.0ms | 256× | 0 | valid |
Compiled 74 to 12 computations (83.8% saved)
ival-mult: 6.0ms (53.5% of total)ival-div: 3.0ms (26.7% of total)ival-sub: 2.0ms (17.8% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))> |
#<alt (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))> |
#<alt (* (* 2 i) (* 2 i))> |
#<alt (* (* i i) (* i i))> |
#<alt (* 2 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 (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)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | inf | (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
| 1.0ms | i | @ | 0 | (/ (* (* 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)) |
| 0.0ms | i | @ | -inf | (* 2 i) |
| 1× | batch-egg-rewrite |
| 5 046× | *-lowering-*.f32 |
| 5 046× | *-lowering-*.f64 |
| 4 332× | /-lowering-/.f32 |
| 4 332× | /-lowering-/.f64 |
| 4 096× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 68 | 37 |
| 2 | 647 | 25 |
| 0 | 8818 | 24 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) |
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
(* (* 2 i) (* 2 i)) |
(* (* i i) (* i i)) |
(* 2 i) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(literal 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 (*.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 i (*.f64 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 (*.f64 i i) #s(literal 4 binary64)) |
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) |
(/.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #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 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 (*.f64 i (*.f64 i i)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i #s(literal -4 binary64)))) |
(/.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 2 binary64)) (*.f64 i #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 i (*.f64 i i)) #s(literal 2 binary64)) (neg.f64 (*.f64 i #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -4 binary64)) |
(/.f64 (/.f64 (*.f64 i (*.f64 i i)) #s(literal -2 binary64)) (*.f64 i #s(literal -2 binary64))) |
(/.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) i)) |
(/.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) i) i)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i))) |
(/.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) i)) |
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i 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)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (*.f64 i #s(literal -4 binary64))) |
(/.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 2 binary64)) (*.f64 i (*.f64 i #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4 binary64)) (*.f64 i i)) |
(/.f64 (/.f64 (*.f64 i (*.f64 i i)) #s(literal 4 binary64)) i) |
(/.f64 (*.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) (*.f64 i i)) (*.f64 i i)) |
(/.f64 (*.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) i) i) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 i #s(literal -4 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1 binary64)) (*.f64 i (*.f64 i #s(literal -4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i i)) |
(/.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i i)) #s(literal 4 binary64)) #s(literal 1 binary64)) i) |
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(pow.f64 (exp.f64 (log.f64 (*.f64 i #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(*.f64 i (/.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 i (*.f64 i #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 i #s(literal 2 binary64))) |
(*.f64 (*.f64 i #s(literal 2 binary64)) (neg.f64 (*.f64 i #s(literal -2 binary64)))) |
(*.f64 (*.f64 i #s(literal 2 binary64)) (/.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i #s(literal -4 binary64)))) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)))) |
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) #s(literal 1 binary64))) |
(*.f64 (*.f64 i #s(literal 4 binary64)) i) |
(*.f64 (*.f64 i #s(literal 4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) i))) |
(*.f64 (*.f64 i #s(literal 4 binary64)) (/.f64 i #s(literal 1 binary64))) |
(*.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 i (*.f64 i #s(literal -2 binary64)))) |
(*.f64 (*.f64 i #s(literal -2 binary64)) (*.f64 i #s(literal -2 binary64))) |
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) |
(*.f64 (*.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) i)) |
(*.f64 (exp.f64 (log.f64 (*.f64 i #s(literal 2 binary64)))) (exp.f64 (log.f64 (*.f64 i #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 4 binary64))) |
(*.f64 (neg.f64 (*.f64 i #s(literal -2 binary64))) (*.f64 i #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64))) (*.f64 i #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 i #s(literal -4 binary64))) i) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) (*.f64 #s(literal 2 binary64) (log.f64 i)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 (*.f64 i i) (neg.f64 (-.f64 #s(literal 0 binary64) (*.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) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(*.f64 (*.f64 i (*.f64 i i)) i) |
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (-.f64 #s(literal 0 binary64) i))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 i i))) |
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (-.f64 #s(literal 0 binary64) i)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 i i)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) i)) (*.f64 i (*.f64 i i))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.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))) (-.f64 #s(literal 0 binary64) 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 (*.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 |
| 14 300× | accelerator-lowering-fma.f32 |
| 14 300× | accelerator-lowering-fma.f64 |
| 3 738× | *-lowering-*.f32 |
| 3 738× | *-lowering-*.f64 |
| 1 734× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 327 |
| 1 | 89 | 327 |
| 2 | 199 | 326 |
| 3 | 441 | 322 |
| 4 | 909 | 322 |
| 5 | 1686 | 322 |
| 6 | 2830 | 322 |
| 7 | 4795 | 322 |
| 8 | 5883 | 322 |
| 9 | 7543 | 322 |
| 0 | 8108 | 319 |
| 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)) |
(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) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (-.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i #s(literal 4 binary64))))))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 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 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 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 17 336 to 1 545 computations (91.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 718 | 5 | 723 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 719 | 5 | 724 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
| ▶ | 45.8% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ▶ | 55.2% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ▶ | 55.0% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ▶ | 46.1% | #s(literal 1/16 binary64) |
Compiled 72 to 52 computations (27.8% 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 -1/4 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 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 #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 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
| 808× | accelerator-lowering-fma.f32 |
| 808× | accelerator-lowering-fma.f64 |
| 536× | *-lowering-*.f32 |
| 536× | *-lowering-*.f64 |
| 212× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 83 |
| 1 | 37 | 83 |
| 2 | 55 | 83 |
| 3 | 90 | 83 |
| 4 | 141 | 83 |
| 5 | 188 | 83 |
| 6 | 264 | 83 |
| 7 | 410 | 83 |
| 8 | 530 | 83 |
| 9 | 611 | 83 |
| 10 | 725 | 83 |
| 11 | 785 | 83 |
| 12 | 839 | 83 |
| 13 | 1024 | 83 |
| 14 | 1347 | 83 |
| 15 | 1458 | 83 |
| 16 | 1520 | 83 |
| 17 | 1562 | 83 |
| 18 | 1569 | 83 |
| 19 | 1570 | 83 |
| 20 | 1570 | 83 |
| 0 | 1570 | 83 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (+ (/ -4 (* i i)) 16)) |
1 |
(+ (/ -4 (* i i)) 16) |
(/ -4 (* i i)) |
-4 |
(* i i) |
i |
16 |
1/16 |
(* i (* i -1/4)) |
i |
(* i -1/4) |
-1/4 |
(+ 1/16 (/ 1/64 (* i i))) |
1/16 |
(/ 1/64 (* i i)) |
1/64 |
(* i i) |
i |
(* i (* i (- -1/4 (* i i)))) |
i |
(* i (- -1/4 (* i i))) |
(- -1/4 (* i i)) |
-1/4 |
(* i i) |
| Outputs |
|---|
(/ 1 (+ (/ -4 (* i i)) 16)) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (/ -4 (* i i)) 16) |
(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
(/ -4 (* i i)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
-4 |
#s(literal -4 binary64) |
(* i i) |
(*.f64 i i) |
i |
16 |
#s(literal 16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(* i (* i -1/4)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
i |
(* i -1/4) |
(*.f64 i #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(+ 1/16 (/ 1/64 (* i i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
1/16 |
#s(literal 1/16 binary64) |
(/ 1/64 (* i i)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
1/64 |
#s(literal 1/64 binary64) |
(* i i) |
(*.f64 i i) |
i |
(* i (* i (- -1/4 (* i i)))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
i |
(* i (- -1/4 (* i i))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(- -1/4 (* i i)) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
-1/4 |
#s(literal -1/4 binary64) |
(* i i) |
(*.f64 i i) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/64 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 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -4 binary64) (*.f64 i i)) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
| 30.0ms | 256× | 0 | valid |
Compiled 85 to 20 computations (76.5% saved)
ival-mult: 10.0ms (52.9% of total)ival-div: 5.0ms (26.5% of total)ival-add: 2.0ms (10.6% of total)ival-sub: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (+ (/ -4 (* i i)) 16))> |
#<alt (+ (/ -4 (* i i)) 16)> |
#<alt (/ -4 (* i i))> |
#<alt (* i i)> |
#<alt (* i (* i -1/4))> |
#<alt (* i -1/4)> |
#<alt (+ 1/16 (/ 1/64 (* i i)))> |
#<alt (/ 1/64 (* i i))> |
#<alt (* i (* i (- -1/4 (* i i))))> |
#<alt (* i (- -1/4 (* i i)))> |
#<alt (- -1/4 (* 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 (/ 1/64 (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))> |
#<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))))))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | 0 | (/ 1 (+ (/ -4 (* i i)) 16)) |
| 0.0ms | i | @ | inf | (* i (* i (- -1/4 (* i i)))) |
| 0.0ms | i | @ | inf | (* i (* i -1/4)) |
| 0.0ms | i | @ | 0 | (/ -4 (* i i)) |
| 0.0ms | i | @ | 0 | (/ 1/64 (* i i)) |
| 1× | batch-egg-rewrite |
| 4 832× | accelerator-lowering-fma.f32 |
| 4 832× | accelerator-lowering-fma.f64 |
| 4 312× | *-lowering-*.f32 |
| 4 312× | *-lowering-*.f64 |
| 3 798× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 65 |
| 1 | 101 | 65 |
| 2 | 726 | 65 |
| 0 | 8128 | 62 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (/ -4 (* i i)) 16)) |
(+ (/ -4 (* i i)) 16) |
(/ -4 (* i i)) |
(* i i) |
(* i (* i -1/4)) |
(* i -1/4) |
(+ 1/16 (/ 1/64 (* i i))) |
(/ 1/64 (* i i)) |
(* i (* i (- -1/4 (* i i)))) |
(* i (- -1/4 (* i i))) |
(- -1/4 (* i i)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) #s(literal -16 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)))) (*.f64 #s(literal -16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))) |
(-.f64 (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)))) |
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal 256 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (*.f64 #s(literal -16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))))) |
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 i i)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) #s(literal -16 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))) |
(/.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i))) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))) |
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i)))) (+.f64 #s(literal -4096 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) i) #s(literal 16 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)))) |
(/.f64 (+.f64 (/.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 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i)))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 i (/.f64 #s(literal -4 binary64) i))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (-.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i)))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -4096 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -64 binary64) (*.f64 i i)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i i)))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i i))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) i) #s(literal 16 binary64)))) |
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(/.f64 (-.f64 #s(literal 1/4096 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 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) |
(/.f64 (-.f64 #s(literal 1/4096 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 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (*.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (+.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) |
(/.f64 (-.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/16 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) (+.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 1 binary64)) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1/262144 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 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 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 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 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) |
(*.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (*.f64 (*.f64 i i) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (-.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) #s(literal 1/16 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 i i) #s(literal -1/4 binary64))))) |
| 1× | egg-herbie |
| 18 308× | accelerator-lowering-fma.f32 |
| 18 308× | accelerator-lowering-fma.f64 |
| 3 626× | *-lowering-*.f32 |
| 3 626× | *-lowering-*.f64 |
| 1 790× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 824 |
| 1 | 163 | 824 |
| 2 | 476 | 760 |
| 3 | 1520 | 756 |
| 4 | 5296 | 756 |
| 5 | 7714 | 756 |
| 0 | 8029 | 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) |
(/ 1/64 (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)) |
(* -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)))))) |
| Outputs |
|---|
(* -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 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i #s(literal -4 binary64))))))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 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) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 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)) |
(* -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 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.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) (+ 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 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.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) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -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 #s(literal 0 binary64) (*.f64 i (*.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) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (pow i 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 i (*.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) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.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 #s(literal 0 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) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (pow i 2)) |
(-.f64 #s(literal 0 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) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
Compiled 13 817 to 1 488 computations (89.2% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 0 | 672 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 672 | 5 | 677 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.0% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
| ✓ | 45.8% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | 55.2% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | 55.0% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | 46.1% | #s(literal 1/16 binary64) |
Compiled 93 to 51 computations (45.2% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 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 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
2 calls:
| 3.0ms | 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 |
|---|---|---|
| 99.0% | 1 | i |
| 99.0% | 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 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.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)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 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 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| Outputs |
|---|
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 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 |
|---|---|---|
| 99.3% | 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) |
1 calls:
| 3.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.1% | 1 | i |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.01391383035596387 | 3829.1202320899283 |
| 8.0ms | 144× | 0 | valid |
Compiled 209 to 140 computations (33% saved)
ival-mult: 3.0ms (52.4% of total)ival-div: 2.0ms (35% of total)ival-sub: 1.0ms (17.5% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.01391383035596387 | 3829.1202320899283 |
| 10.0ms | 144× | 0 | valid |
Compiled 173 to 122 computations (29.5% saved)
ival-mult: 3.0ms (50.4% of total)ival-div: 2.0ms (33.6% of total)ival-sub: 1.0ms (16.8% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.01391383035596387 | 3829.1202320899283 |
| 10.0ms | 144× | 0 | valid |
Compiled 119 to 86 computations (27.7% saved)
ival-mult: 4.0ms (56.3% of total)ival-div: 2.0ms (28.1% of total)ival-sub: 1.0ms (14.1% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 56 |
| 1 | 37 | 56 |
| 2 | 44 | 56 |
| 3 | 48 | 56 |
| 4 | 50 | 56 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 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 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 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 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 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 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 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
| 14 300× | accelerator-lowering-fma.f32 |
| 14 300× | accelerator-lowering-fma.f64 |
| 5 046× | *-lowering-*.f32 |
| 5 046× | *-lowering-*.f64 |
| 4 332× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 327 |
| 1 | 89 | 327 |
| 2 | 199 | 326 |
| 3 | 441 | 322 |
| 4 | 909 | 322 |
| 5 | 1686 | 322 |
| 6 | 2830 | 322 |
| 7 | 4795 | 322 |
| 8 | 5883 | 322 |
| 9 | 7543 | 322 |
| 0 | 8108 | 319 |
| 0 | 10 | 43 |
| 1 | 68 | 37 |
| 2 | 647 | 25 |
| 0 | 8818 | 24 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 100 to 54 computations (46% saved)
(abs i)
Compiled 208 to 92 computations (55.8% saved)
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