
Time bar (total: 4.7s)
| 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 12 computations (58.6% saved)
ival-mult: 1.0ms (50% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)const: 0.0ms (0% of total)ival->: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 939.0ms | 8256× | 0 | valid |
ival-mult: 307.0ms (52.7% of total)ival-div: 151.0ms (25.9% of total)ival-sub: 56.0ms (9.6% of total)ival->: 50.0ms (8.6% of total)const: 14.0ms (2.4% of total)backward-pass: 3.0ms (0.5% of total)| 2× | egg-herbie |
| 4808× | *-lowering-*.f32 |
| 4808× | *-lowering-*.f64 |
| 3132× | /-lowering-/.f32 |
| 3132× | /-lowering-/.f64 |
| 1670× | associate-/r/ |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 46 |
| 1 | 94 | 40 |
| 2 | 593 | 30 |
| 3 | 4473 | 30 |
| 0 | 10 | 15 |
| 1 | 43 | 13 |
| 2 | 197 | 10 |
| 3 | 1091 | 10 |
| 4 | 3705 | 9 |
| 5 | 5776 | 9 |
| 0 | 8216 | 9 |
| 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)) |
(* (square i) (/ 1/4 (fnmsub (square i) -4 1))) |
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)) |
(* (square i) (/ 1/4 (fnmsub (square i) -4 1))) |
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))) |
(* (square i) (/ 1/4 (fnmsub (square i) 4 -1))) |
(abs i)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 191 | 0 | - | 1 | (2.7199005114585507e-81) | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 65 | 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 | - | (*.f64 #s(literal 2 binary64) i) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | 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 | - | (*.f64 (*.f64 i i) (*.f64 i i)) |
| 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 | - | #s(literal 1 binary64) |
| 54.0ms | 512× | 0 | valid |
Compiled 174 to 32 computations (81.6% saved)
ival-mult: 14.0ms (56.7% of total)ival-div: 6.0ms (24.3% of total)ival-sub: 3.0ms (12.2% of total)const: 1.0ms (4.1% of total)backward-pass: 0.0ms (0% of total)Compiled 12 to 7 computations (41.7% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.6% | (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
Compiled 12 to 7 computations (41.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 i i) #s(literal 16 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
| 18× | *-lowering-*.f32 |
| 18× | *-lowering-*.f64 |
| 8× | *-commutative |
| 8× | fma-lowering-fma.f32 |
| 8× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 1 | 15 | 22 |
| 2 | 21 | 22 |
| 3 | 22 | 22 |
| 0 | 22 | 22 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* i i) (+ (* (* i i) 16) -4)) |
(* i i) |
i |
(+ (* (* i i) 16) -4) |
(* (* i i) 16) |
16 |
-4 |
| Outputs |
|---|
(/ (* i i) (+ (* (* i i) 16) -4)) |
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
(* i i) |
(*.f64 i i) |
i |
(+ (* (* i i) 16) -4) |
(+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) |
(* (* i i) 16) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
16 |
#s(literal 16 binary64) |
-4 |
#s(literal -4 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 i i) #s(literal 16 binary64)) |
| ✓ | accuracy | 75.4% | (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
| 18.0ms | 256× | 0 | valid |
Compiled 31 to 8 computations (74.2% saved)
ival-mult: 5.0ms (57.4% of total)ival-div: 2.0ms (23% of total)ival-add: 1.0ms (11.5% of total)const: 1.0ms (11.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* i i) (+ (* (* i i) 16) -4))> |
#<alt (* i i)> |
#<alt (+ (* (* i i) 16) -4)> |
#<alt (* (* i i) 16)> |
| 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 (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 -4> |
#<alt (- (* 16 (pow i 2)) 4)> |
#<alt (- (* 16 (pow i 2)) 4)> |
#<alt (- (* 16 (pow i 2)) 4)> |
#<alt (* 16 (pow i 2))> |
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))> |
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))> |
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))> |
#<alt (* 16 (pow i 2))> |
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))> |
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))> |
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
#<alt (* 16 (pow i 2))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | i | @ | inf | (/ (* i i) (+ (* (* i i) 16) -4)) |
| 0.0ms | i | @ | 0 | (/ (* i i) (+ (* (* i i) 16) -4)) |
| 0.0ms | i | @ | inf | (* (* i i) 16) |
| 0.0ms | i | @ | inf | (* i i) |
| 0.0ms | i | @ | 0 | (* i i) |
| 1× | batch-egg-rewrite |
| 3326× | /-lowering-/.f32 |
| 3326× | /-lowering-/.f64 |
| 3164× | *-lowering-*.f32 |
| 3164× | *-lowering-*.f64 |
| 2290× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 39 | 19 |
| 2 | 257 | 19 |
| 3 | 2439 | 19 |
| 0 | 8815 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* i i) (+ (* (* i i) 16) -4)) |
(* i i) |
(+ (* (* i i) 16) -4) |
(* (* i i) 16) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64)))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64)))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (*.f64 (*.f64 i i) #s(literal 16 binary64))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i) i)) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) (*.f64 (log.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 i)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 i))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) (/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64)))) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -64 binary64)) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) |
(fma.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))))) |
(fma.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))))) |
(fma.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))))) |
(fma.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))))) |
(fma.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))))) |
(fma.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (*.f64 (*.f64 i i) #s(literal 16 binary64)) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal 4 binary64))) |
(neg.f64 (/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))))) |
(/.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i)) |
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i) i)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))) (*.f64 i i))) |
(/.f64 (-.f64 #s(literal 0 binary64) i) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)))) |
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(*.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal -256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 16777216 binary64))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))))))) (+.f64 (*.f64 #s(literal 65536 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (-.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (-.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64)))))) (-.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal 64 binary64))) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 #s(literal -256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 16777216 binary64))) #s(literal -4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 65536 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 256 binary64) (*.f64 #s(literal 4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 65536 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal -256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 68719476736 binary64))) #s(literal -262144 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 16777216 binary64))) (+.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 262144 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 16777216 binary64))) #s(literal -4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal 64 binary64)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64)) |
(*.f64 i (*.f64 i #s(literal 16 binary64))) |
(*.f64 i (pow.f64 (*.f64 i #s(literal 16 binary64)) #s(literal 1 binary64))) |
(*.f64 i (exp.f64 (log.f64 (*.f64 i #s(literal 16 binary64))))) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(*.f64 (*.f64 i i) (exp.f64 (log.f64 #s(literal 16 binary64)))) |
(*.f64 #s(literal 16 binary64) (*.f64 i i)) |
(*.f64 (*.f64 i #s(literal 16 binary64)) i) |
(*.f64 (pow.f64 (*.f64 i #s(literal 16 binary64)) #s(literal 1 binary64)) i) |
(*.f64 (exp.f64 (log.f64 (*.f64 i #s(literal 16 binary64)))) i) |
(*.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) (*.f64 i i)) |
| 1× | egg-herbie |
| 2386× | fma-lowering-fma.f32 |
| 2386× | fma-lowering-fma.f64 |
| 1710× | *-lowering-*.f32 |
| 1710× | *-lowering-*.f64 |
| 1692× | fmm-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 291 |
| 1 | 116 | 233 |
| 2 | 282 | 233 |
| 3 | 722 | 233 |
| 4 | 1731 | 233 |
| 5 | 3656 | 233 |
| 6 | 7789 | 233 |
| 0 | 8370 | 233 |
| 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)))))) |
(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) |
-4 |
(- (* 16 (pow i 2)) 4) |
(- (* 16 (pow i 2)) 4) |
(- (* 16 (pow i 2)) 4) |
(* 16 (pow i 2)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* 16 (pow i 2)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (pow i 2)) |
(* 16 (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 (*.f64 i 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 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.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 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.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) |
-4 |
#s(literal -4 binary64) |
(- (* 16 (pow i 2)) 4) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(- (* 16 (pow i 2)) 4) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(- (* 16 (pow i 2)) 4) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) |
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
(* 16 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 16 binary64)) |
Compiled 13223 to 1153 computations (91.3% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 4 | 417 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 413 | 5 | 418 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 74.6% | (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
| ▶ | 47.8% | (/.f64 (*.f64 i i) #s(literal -4 binary64)) |
| ▶ | 52.4% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ▶ | 48.1% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ▶ | 52.9% | #s(literal 1/16 binary64) |
Compiled 38 to 25 computations (34.2% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 i i) #s(literal -4 binary64)) |
| ✓ | 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)))) |
| 1226× | sum3-define |
| 1072× | sum5-define |
| 990× | fma-define |
| 980× | fnmadd-define |
| 808× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 26 | 45 |
| 2 | 48 | 45 |
| 3 | 103 | 45 |
| 4 | 176 | 45 |
| 5 | 270 | 45 |
| 6 | 406 | 45 |
| 7 | 658 | 45 |
| 8 | 2366 | 45 |
| 9 | 2757 | 45 |
| 10 | 3203 | 45 |
| 11 | 3595 | 45 |
| 12 | 3639 | 45 |
| 13 | 3766 | 45 |
| 14 | 4050 | 45 |
| 15 | 4272 | 45 |
| 16 | 4392 | 45 |
| 17 | 4466 | 45 |
| 18 | 4516 | 45 |
| 19 | 4540 | 45 |
| 0 | 4540 | 45 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
1/16 |
(* i (* i (- -1/4 (* i i)))) |
i |
(* i (- -1/4 (* i i))) |
(- -1/4 (* i i)) |
-1/4 |
(* i i) |
(+ 1/16 (/ 1/64 (* i i))) |
1/16 |
(/ 1/64 (* i i)) |
1/64 |
(* i i) |
i |
(/ (* i i) -4) |
(* i i) |
i |
-4 |
| Outputs |
|---|
1/16 |
#s(literal 1/16 binary64) |
(* i (* i (- -1/4 (* i i)))) |
(*.f64 i (*.f64 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) |
(+ 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) -4) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
(* i i) |
(*.f64 i i) |
i |
-4 |
#s(literal -4 binary64) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 i i) #s(literal -4 binary64)) |
| ✓ | 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 | 99.3% | (/.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 | 99.9% | (*.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))) |
| 34.0ms | 256× | 0 | valid |
Compiled 57 to 13 computations (77.2% saved)
ival-mult: 6.0ms (46.8% of total)ival-div: 4.0ms (31.2% of total)ival-sub: 1.0ms (7.8% of total)ival-add: 1.0ms (7.8% of total)const: 1.0ms (7.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* i (* i (- -1/4 (* i i))))> |
#<alt (* i (- -1/4 (* i i)))> |
#<alt (- -1/4 (* i i))> |
#<alt (* i i)> |
#<alt (+ 1/16 (/ 1/64 (* i i)))> |
#<alt (/ 1/64 (* i i))> |
#<alt (/ (* i i) -4)> |
| Outputs |
|---|
#<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 (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 (/ 1/64 (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 (* -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))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | i | @ | -inf | (+ 1/16 (/ 1/64 (* i i))) |
| 0.0ms | i | @ | inf | (* i (* i (- -1/4 (* i i)))) |
| 0.0ms | i | @ | 0 | (* i (* i (- -1/4 (* i i)))) |
| 0.0ms | i | @ | 0 | (* i (- -1/4 (* i i))) |
| 0.0ms | i | @ | 0 | (/ 1/64 (* i i)) |
| 1× | batch-egg-rewrite |
| 2550× | *-lowering-*.f32 |
| 2550× | *-lowering-*.f64 |
| 2282× | /-lowering-/.f32 |
| 2282× | /-lowering-/.f64 |
| 1830× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 70 | 33 |
| 2 | 493 | 33 |
| 3 | 5170 | 33 |
| 0 | 8354 | 33 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* i (* i (- -1/4 (* i i)))) |
(* i (- -1/4 (* i i))) |
(- -1/4 (* i i)) |
(* i i) |
(+ 1/16 (/ 1/64 (* i i))) |
(/ 1/64 (* i i)) |
(/ (* i i) -4) |
| Outputs |
|---|
(+.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
(-.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) (*.f64 i (*.f64 i (*.f64 i i)))) |
(fma.f64 i (/.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal -4 binary64) i)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 i #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (/.f64 i #s(literal -4 binary64)) i (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) i) (/.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(/.f64 (*.f64 i i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) |
(/.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(/.f64 (neg.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) |
(/.f64 (neg.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) #s(literal -64 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) |
(/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) |
(/.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (*.f64 i i)) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i i)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 i (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) i) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) |
(/.f64 (*.f64 (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.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))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) |
(*.f64 (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (+.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) (*.f64 i i))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))) |
(*.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) |
(*.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (-.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) |
(*.f64 (/.f64 (*.f64 i (*.f64 i (-.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 i (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i 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))))) |
(+.f64 (/.f64 i #s(literal -4 binary64)) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) |
(+.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (/.f64 i #s(literal -4 binary64))) |
(-.f64 (/.f64 i #s(literal -4 binary64)) (*.f64 i (*.f64 i i))) |
(fma.f64 i #s(literal -1/4 binary64) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) |
(fma.f64 #s(literal -1/4 binary64) i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) |
(/.f64 i (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) (*.f64 i (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) |
(/.f64 (*.f64 i (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) |
(/.f64 (*.f64 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 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(/.f64 (neg.f64 (*.f64 i (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) |
(/.f64 (neg.f64 (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 i #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 i #s(literal -4 binary64)) (/.f64 i #s(literal -4 binary64))) (-.f64 (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) (*.f64 (/.f64 i #s(literal -4 binary64)) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 i #s(literal -4 binary64)) (/.f64 i #s(literal -4 binary64))) (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))))) (-.f64 (/.f64 i #s(literal -4 binary64)) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/68719476736 binary64) (/.f64 #s(literal 1/18014398509481984 binary64) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))) (+.f64 #s(literal 1/16777216 binary64) (*.f64 (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) (-.f64 (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) #s(literal 1/4096 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))) (+.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/65536 binary64) (/.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))) |
(*.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))) |
(*.f64 (+.f64 #s(literal -1/4096 binary64) (neg.f64 (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))) #s(literal -1/256 binary64)))) |
(*.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16777216 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))))) (+.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) #s(literal 1/256 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))) (-.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) |
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/.f64 #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 1/64 binary64) i))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 64 binary64)) |
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i) |
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (-.f64 #s(literal 0 binary64) i))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 i i) #s(literal -1/64 binary64))) |
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (-.f64 #s(literal 0 binary64) i)) |
(/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i #s(literal 1/64 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/64 binary64) i)) (-.f64 #s(literal 0 binary64) i)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) i)) |
(/.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal -1 binary64)) i) |
(pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i)) #s(literal -1 binary64)) |
(*.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 -1/64 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 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.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 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) |
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/64 binary64) i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64))) |
(neg.f64 (/.f64 (*.f64 i i) #s(literal 4 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -4 binary64) i)) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) i)) |
(pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(*.f64 i (/.f64 i #s(literal -4 binary64))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1 binary64))) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i #s(literal 4 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 i #s(literal 1/4 binary64))) |
(*.f64 (/.f64 i #s(literal -4 binary64)) i) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64))) |
(*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) i) (/.f64 i #s(literal -4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 2192× | *-lowering-*.f32 |
| 2192× | *-lowering-*.f64 |
| 1386× | fma-define |
| 1182× | times-frac |
| 938× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 487 |
| 1 | 95 | 369 |
| 2 | 317 | 369 |
| 3 | 1153 | 369 |
| 4 | 3527 | 369 |
| 0 | 8589 | 369 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))))) |
(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) |
(/ 1/64 (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)) |
(* -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)) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 i 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 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i 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 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1/4 i) |
(*.f64 i #s(literal -1/4 binary64)) |
(* 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)) |
(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) |
(/ 1/64 (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 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
Compiled 7784 to 894 computations (88.5% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 414 | 2 | 416 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 415 | 6 | 421 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 74.6% | (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
| ▶ | 47.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
| ✓ | 52.4% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ▶ | 47.8% | (*.f64 (/.f64 i #s(literal -4 binary64)) i) |
| ✓ | 48.1% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | 52.9% | #s(literal 1/16 binary64) |
Compiled 46 to 31 computations (32.6% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4 binary64) (*.f64 i i)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
| ✓ | cost-diff | 0 | (/.f64 i #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 i #s(literal -4 binary64)) i) |
| 30× | *-lowering-*.f32 |
| 30× | *-lowering-*.f64 |
| 20× | /-lowering-/.f32 |
| 20× | /-lowering-/.f64 |
| 14× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 19 | 22 |
| 2 | 24 | 22 |
| 3 | 30 | 22 |
| 4 | 34 | 22 |
| 5 | 53 | 22 |
| 0 | 53 | 22 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ i -4) i) |
(/ i -4) |
i |
-4 |
(/ 1 (/ -4 (* i i))) |
1 |
(/ -4 (* i i)) |
-4 |
(* i i) |
i |
| Outputs |
|---|
(* (/ i -4) i) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
(/ i -4) |
(/.f64 i #s(literal -4 binary64)) |
i |
-4 |
#s(literal -4 binary64) |
(/ 1 (/ -4 (* i i))) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
1 |
#s(literal 1 binary64) |
(/ -4 (* i i)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
-4 |
#s(literal -4 binary64) |
(* i i) |
(*.f64 i i) |
i |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal -4 binary64) (*.f64 i i)) |
| ✓ | accuracy | 100.0% | (/.f64 i #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 i #s(literal -4 binary64)) i) |
| 51.0ms | 256× | 0 | valid |
Compiled 30 to 9 computations (70% saved)
ival-div: 35.0ms (87.6% of total)ival-mult: 4.0ms (10% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ i -4) i)> |
#<alt (/ i -4)> |
#<alt (/ 1 (/ -4 (* i i)))> |
#<alt (/ -4 (* i i))> |
#<alt (* i 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 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 (* -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 (/ -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)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | i | @ | -inf | (/ i -4) |
| 0.0ms | i | @ | 0 | (/ -4 (* i i)) |
| 0.0ms | i | @ | inf | (/ -4 (* i i)) |
| 0.0ms | i | @ | 0 | (/ i -4) |
| 0.0ms | i | @ | inf | (/ i -4) |
| 1× | batch-egg-rewrite |
| 1860× | *-lowering-*.f32 |
| 1860× | *-lowering-*.f64 |
| 1526× | sum4-define |
| 1308× | /-lowering-/.f32 |
| 1308× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 40 | 17 |
| 2 | 162 | 17 |
| 3 | 669 | 17 |
| 4 | 4238 | 17 |
| 0 | 8437 | 17 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ i -4) i) |
(/ i -4) |
(/ 1 (/ -4 (* i i))) |
(/ -4 (* i i)) |
(* i i) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 i i) #s(literal -4 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) #s(literal -4 binary64))) |
(+.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 i i) #s(literal -4 binary64))) |
(exp.f64 (log.f64 (/.f64 (*.f64 i i) #s(literal -4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 i i) #s(literal -4 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 i (pow.f64 #s(literal -4 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 i (/.f64 #s(literal 4 binary64) i))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) i)) (/.f64 i (/.f64 #s(literal 4 binary64) i))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) i)) (/.f64 i (/.f64 #s(literal 4 binary64) i))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i)) (/.f64 i (/.f64 #s(literal 4 binary64) i))) |
(fma.f64 #s(literal 0 binary64) (/.f64 i #s(literal 4 binary64)) (/.f64 (*.f64 i i) #s(literal -4 binary64))) |
(fma.f64 (/.f64 i #s(literal 4 binary64)) #s(literal 0 binary64) (/.f64 (*.f64 i i) #s(literal -4 binary64))) |
(neg.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i))) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
(/.f64 (/.f64 i #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) i)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
(/.f64 (*.f64 i i) (*.f64 (/.f64 #s(literal -4 binary64) i) i)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 #s(literal 4 binary64) i))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 (/.f64 #s(literal 4 binary64) i) i)) |
(/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 4 binary64) i)) |
(/.f64 (/.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) |
(/.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))) |
(/.f64 (*.f64 i (pow.f64 #s(literal -4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i (pow.f64 #s(literal -4 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) i)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (*.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i i))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 #s(literal 4 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i) (*.f64 i #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i)) (*.f64 i #s(literal -4 binary64))) |
(/.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 #s(literal 4 binary64) i)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 #s(literal -4 binary64) i)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) i) (*.f64 (*.f64 i i) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) #s(literal 1 binary64)) (*.f64 (*.f64 i i) (/.f64 #s(literal 4 binary64) i))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (-.f64 #s(literal 0 binary64) i)) (*.f64 (*.f64 i i) #s(literal -4 binary64))) |
(/.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i i))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i i))) |
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(pow.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 i)) |
(*.f64 i i) |
(*.f64 #s(literal 1 binary64) (*.f64 i i)) |
(*.f64 (*.f64 i i) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) i)) |
(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) (/.f64 #s(literal 1 binary64) i))) |
(*.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) i)) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 1 binary64))) |
(*.f64 (/.f64 i #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) i)) |
(*.f64 (/.f64 (sqrt.f64 i) #s(literal 1 binary64)) (/.f64 (sqrt.f64 i) (/.f64 #s(literal 1 binary64) i))) |
(*.f64 (*.f64 i (sqrt.f64 i)) (sqrt.f64 i)) |
| 1× | egg-herbie |
| 14× | *-lowering-*.f32 |
| 14× | *-lowering-*.f64 |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
| 4× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 252 |
| 1 | 11 | 204 |
| 2 | 16 | 204 |
| 0 | 16 | 204 |
| 1× | iter limit |
| 1× | saturated |
| 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 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)) |
(* -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)) |
(/ -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) |
| 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 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)) |
(* -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)) |
(/ -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) |
Compiled 6438 to 916 computations (85.8% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 559 | 0 | 559 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 559 | 6 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 74.6% | (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
| ✓ | 47.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
| ✓ | 52.4% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | 47.8% | (*.f64 (/.f64 i #s(literal -4 binary64)) i) |
| ✓ | 48.1% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | 52.9% | #s(literal 1/16 binary64) |
Compiled 117 to 59 computations (49.6% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 (/.f64 i #s(literal -4 binary64)) i) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 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 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) |
#s(literal 1/16 binary64) |
2 calls:
| 4.0ms | 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 |
|---|---|---|
| 100.0% | 2 | i |
| 74.6% | 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 (/.f64 i #s(literal -4 binary64)) i) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 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:
| 3.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | i |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 (/.f64 i #s(literal -4 binary64)) i) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
| Outputs |
|---|
(*.f64 (/.f64 i #s(literal -4 binary64)) i) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | i |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 (/.f64 i #s(literal -4 binary64)) i) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 i #s(literal -4 binary64)) i) |
#s(literal 1/16 binary64) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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:
| 1.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | i |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 497566.18523017276 | 330764826.77815276 |
| 2.0ms | 32× | 0 | valid |
Compiled 62 to 35 computations (43.5% saved)
ival-mult: 1.0ms (67.2% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.007560312360424406 | 1.2747182143497318 |
| 9.0ms | 112× | 0 | valid |
Compiled 170 to 111 computations (34.7% saved)
ival-mult: 3.0ms (56.9% of total)ival-sub: 1.0ms (19% of total)ival-div: 1.0ms (19% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.007560312360424406 | 1.2747182143497318 |
| 9.0ms | 112× | 0 | valid |
Compiled 142 to 97 computations (31.7% saved)
ival-mult: 5.0ms (74.5% of total)ival-sub: 1.0ms (14.9% of total)ival-div: 1.0ms (14.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.007560312360424406 | 1.2747182143497318 |
| 8.0ms | 112× | 0 | valid |
Compiled 100 to 69 computations (31% saved)
ival-mult: 3.0ms (57.7% of total)ival-sub: 1.0ms (19.2% of total)ival-div: 1.0ms (19.2% of total)const: 0.0ms (0% of total)backward-pass: 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 | 25 | 63 |
| 1 | 36 | 63 |
| 2 | 44 | 63 |
| 3 | 48 | 63 |
| 4 | 50 | 63 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #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)))) (+.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 #s(literal -4 binary64)) 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 #s(literal -4 binary64)) i) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
| Outputs |
|---|
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #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)))) (+.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 #s(literal -4 binary64)) 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 -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 i #s(literal -4 binary64)) i) #s(literal 1/16 binary64)) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (/.f64 i #s(literal -4 binary64))) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
| 4808× | *-lowering-*.f32 |
| 4808× | *-lowering-*.f64 |
| 3132× | /-lowering-/.f32 |
| 3132× | /-lowering-/.f64 |
| 2550× | *-lowering-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 15 |
| 1 | 43 | 13 |
| 2 | 197 | 10 |
| 3 | 1091 | 10 |
| 4 | 3705 | 9 |
| 5 | 5776 | 9 |
| 0 | 8216 | 9 |
| 0 | 12 | 33 |
| 1 | 70 | 33 |
| 2 | 493 | 33 |
| 3 | 5170 | 33 |
| 0 | 8354 | 33 |
| 0 | 50 | 291 |
| 1 | 116 | 233 |
| 2 | 282 | 233 |
| 3 | 722 | 233 |
| 4 | 1731 | 233 |
| 5 | 3656 | 233 |
| 6 | 7789 | 233 |
| 0 | 8370 | 233 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 129 to 74 computations (42.6% saved)
(abs i)
Compiled 214 to 92 computations (57% saved)
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