
Time bar (total: 28.0min)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 10 to 6 computations (40% saved)
| 352.0ms | 8 256× | 0 | valid |
ival-pow2: 106.0ms (50.7% of total)ival-sqrt: 53.0ms (25.4% of total)ival-add: 42.0ms (20.1% of total)ival-true: 5.0ms (2.4% of total)ival-assert: 3.0ms (1.4% of total)| 2× | egg-herbie |
| 52× | unsub-neg |
| 50× | associate-*r* |
| 30× | distribute-rgt-neg-out |
| 26× | distribute-lft-neg-out |
| 26× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 20 | 19 |
| 2 | 43 | 19 |
| 3 | 146 | 19 |
| 4 | 261 | 19 |
| 5 | 290 | 19 |
| 6 | 292 | 19 |
| 0 | 5 | 6 |
| 1 | 7 | 6 |
| 2 | 12 | 6 |
| 3 | 15 | 6 |
| 0 | 15 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(sqrt (+ (pow x 2) (pow x 2))) |
| Outputs |
|---|
(sqrt (+ (pow x 2) (pow x 2))) |
(sqrt.f64 (*.f64 x (+.f64 x x))) |
| Inputs |
|---|
(sqrt (+ (pow x 2) (pow x 2))) |
(sqrt (+ (pow (neg x) 2) (pow (neg x) 2))) |
(neg (sqrt (+ (pow (neg x) 2) (pow (neg x) 2)))) |
| Outputs |
|---|
(sqrt (+ (pow x 2) (pow x 2))) |
(sqrt (* x (+ x x))) |
(sqrt (+ (pow (neg x) 2) (pow (neg x) 2))) |
(sqrt (* x (+ x x))) |
(neg (sqrt (+ (pow (neg x) 2) (pow (neg x) 2)))) |
(neg (sqrt (* x (+ x x)))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 122 | 0 | - | 1 | (6.195533336781938e-161) | (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) | oflow-rescue | 67 | 0 |
| ↳ | (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) | overflow | 67 | |
| ↳ | (pow.f64 x #s(literal 2 binary64)) | overflow | 134 | |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) | uflow-rescue | 54 | 0 |
| ↳ | (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) | underflow | 54 | |
| ↳ | (pow.f64 x #s(literal 2 binary64)) | underflow | 108 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 121 | 1 |
| - | 0 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 121 | 0 | 1 |
| - | 0 | 0 | 134 |
| number | freq |
|---|---|
| 0 | 135 |
| 1 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 24.0ms | 512× | 0 | valid |
Compiled 62 to 24 computations (61.3% saved)
ival-pow2: 7.0ms (51.7% of total)ival-sqrt: 3.0ms (22.2% of total)ival-add: 2.0ms (14.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.8% | (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
Compiled 9 to 5 computations (44.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 320 | (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 6144 | (pow.f64 x #s(literal 2 binary64)) |
| 14× | *-lowering-*.f32 |
| 14× | *-lowering-*.f64 |
| 4× | *-commutative |
| 4× | +-lowering-+.f64 |
| 4× | count-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 1 | 7 | 16 |
| 2 | 12 | 16 |
| 3 | 15 | 16 |
| 0 | 15 | 13 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt (+ (pow x 2) (pow x 2))) |
(+ (pow x 2) (pow x 2)) |
(pow x 2) |
x |
2 |
| Outputs |
|---|
(sqrt (+ (pow x 2) (pow x 2))) |
(sqrt.f64 (*.f64 x (+.f64 x x))) |
(+ (pow x 2) (pow x 2)) |
(*.f64 x (+.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
x |
2 |
#s(literal 2 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 55.8% | (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
| 14.0ms | 256× | 0 | valid |
Compiled 22 to 7 computations (68.2% saved)
ival-pow2: 6.0ms (66.6% of total)ival-sqrt: 2.0ms (22.2% of total)ival-add: 1.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow x 2)> |
#<alt (+ (pow x 2) (pow x 2))> |
#<alt (sqrt (+ (pow x 2) (pow x 2)))> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt (+ (pow x 2) (pow x 2))) |
| 1.0ms | x | @ | inf | (sqrt (+ (pow x 2) (pow x 2))) |
| 0.0ms | x | @ | inf | (pow x 2) |
| 0.0ms | x | @ | 0 | (pow x 2) |
| 0.0ms | x | @ | 0 | (+ (pow x 2) (pow x 2)) |
| 1× | batch-egg-rewrite |
| 70× | *-lowering-*.f32 |
| 70× | *-lowering-*.f64 |
| 44× | accelerator-lowering-fma.f32 |
| 44× | accelerator-lowering-fma.f64 |
| 34× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 25 | 10 |
| 0 | 167 | 9 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(pow x 2) |
(+ (pow x 2) (pow x 2)) |
(sqrt (+ (pow x 2) (pow x 2))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) |
(fma.f64 x x (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(*.f64 x (+.f64 x x)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x x))) #s(literal 1/2 binary64))) |
(hypot.f64 x x) |
(hypot.f64 x (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(sqrt.f64 (*.f64 x (+.f64 x x))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 38× | *-lowering-*.f32 |
| 38× | *-lowering-*.f64 |
| 38× | accelerator-lowering-fma.f32 |
| 38× | accelerator-lowering-fma.f64 |
| 36× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 148 |
| 1 | 15 | 148 |
| 2 | 32 | 148 |
| 3 | 37 | 148 |
| 4 | 41 | 148 |
| 5 | 53 | 148 |
| 6 | 65 | 148 |
| 7 | 76 | 148 |
| 8 | 96 | 148 |
| 9 | 101 | 148 |
| 0 | 101 | 148 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
| Outputs |
|---|
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
(* -1 (* x (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
(* -1 (* x (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
(* -1 (* x (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
Compiled 790 to 110 computations (86.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 6 | 87 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 82 | 6 | 88 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ▶ | 99.9% | (hypot.f64 x x) |
| ▶ | 17.6% | (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
| 55.5% | (*.f64 (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64))) | |
| ▶ | 17.6% | (sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))) |
| ▶ | 55.8% | (sqrt.f64 (*.f64 x (+.f64 x x))) |
Compiled 172 to 76 computations (55.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
| ✓ | cost-diff | 1408 | (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))) |
| ✓ | cost-diff | 3712 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 x (+.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 x x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 5248 | (hypot.f64 x x) |
| 5 698× | accelerator-lowering-fma.f32 |
| 5 698× | accelerator-lowering-fma.f64 |
| 4 958× | *-lowering-*.f32 |
| 4 958× | *-lowering-*.f64 |
| 2 006× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 158 |
| 1 | 42 | 140 |
| 2 | 139 | 117 |
| 3 | 830 | 109 |
| 4 | 2533 | 109 |
| 5 | 4231 | 109 |
| 6 | 6918 | 109 |
| 0 | 8291 | 100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ (* x x) (* x x))) |
x |
(+ (* x (sqrt 2)) 0) |
x |
(sqrt 2) |
2 |
0 |
(sqrt (* x (+ x x))) |
(* x (+ x x)) |
x |
(+ x x) |
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))) |
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))) |
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) |
(+ (* (* x x) (* x x)) 0) |
(* x x) |
x |
0 |
(* x (+ x x)) |
(+ x x) |
(/ 1 (+ (* (* x x) (* x x)) 0)) |
1 |
(/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0))) |
(sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) |
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) |
(+ (* (* x x) (* x x)) 0) |
(* x x) |
x |
0 |
(* x (+ x x)) |
(+ x x) |
(sqrt (+ (* (* x x) (* x x)) 0)) |
| Outputs |
|---|
(sqrt (+ (* x x) (* x x))) |
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64))) |
x |
(+ (* x (sqrt 2)) 0) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
x |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
0 |
#s(literal 0 binary64) |
(sqrt (* x (+ x x))) |
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64))) |
(* x (+ x x)) |
(fma.f64 x (+.f64 x x) #s(literal 0 binary64)) |
x |
(+ x x) |
(+.f64 x x) |
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))) |
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64))) |
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))) |
(fma.f64 x (+.f64 x x) #s(literal 0 binary64)) |
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) |
(fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (* x x) (* x x)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(* x (+ x x)) |
(fma.f64 x (+.f64 x x) #s(literal 0 binary64)) |
(+ x x) |
(+.f64 x x) |
(/ 1 (+ (* (* x x) (* x x)) 0)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0))) |
(/.f64 (sqrt.f64 (fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) |
(sqrt.f64 (fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) |
(fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (* x x) (* x x)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(* x (+ x x)) |
(fma.f64 x (+.f64 x x) #s(literal 0 binary64)) |
(+ x x) |
(+.f64 x x) |
(sqrt (+ (* (* x x) (* x x)) 0)) |
(fma.f64 x x #s(literal 0 binary64)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) |
| ✓ | accuracy | 81.0% | (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) |
| ✓ | accuracy | 77.8% | (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
| ✓ | accuracy | 40.4% | (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
| ✓ | accuracy | 55.8% | (sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))) |
| ✓ | accuracy | 24.3% | (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x x)) |
| ✓ | accuracy | 55.8% | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.4% | (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.9% | (hypot.f64 x x) |
| 108.0ms | 256× | 0 | valid |
Compiled 212 to 23 computations (89.2% saved)
ival-mult: 13.0ms (39.9% of total)ival-sqrt: 8.0ms (24.6% of total)ival-hypot: 5.0ms (15.3% of total)ival-div: 3.0ms (9.2% of total)ival-add: 3.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (+ (* x x) (* x x)))> |
#<alt (+ (* x (sqrt 2)) 0)> |
#<alt (sqrt 2)> |
#<alt (sqrt (* x (+ x x)))> |
#<alt (+ x x)> |
#<alt (* x (+ x x))> |
#<alt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))> |
#<alt (sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))> |
#<alt (+ (* (* x x) (* x x)) 0)> |
#<alt (sqrt (+ (* (* x x) (* x x)) 0))> |
#<alt (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0)))> |
#<alt (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))> |
#<alt (/ 1 (+ (* (* x x) (* x x)) 0))> |
| Outputs |
|---|
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* (pow x 3) (sqrt 2))> |
#<alt (* (pow x 3) (sqrt 2))> |
#<alt (* (pow x 3) (sqrt 2))> |
#<alt (* (pow x 3) (sqrt 2))> |
#<alt (* (pow x 3) (sqrt 2))> |
#<alt (* (pow x 3) (sqrt 2))> |
#<alt (* (pow x 3) (sqrt 2))> |
#<alt (* (pow x 3) (sqrt 2))> |
#<alt (* -1 (* (pow x 3) (sqrt 2)))> |
#<alt (* -1 (* (pow x 3) (sqrt 2)))> |
#<alt (* -1 (* (pow x 3) (sqrt 2)))> |
#<alt (* -1 (* (pow x 3) (sqrt 2)))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) |
| 0.0ms | x | @ | inf | (* x (+ x x)) |
| 0.0ms | x | @ | inf | (+ x x) |
| 0.0ms | x | @ | 0 | (+ (* (* x x) (* x x)) 0) |
| 0.0ms | x | @ | 0 | (+ x x) |
| 1× | batch-egg-rewrite |
| 276× | *-lowering-*.f32 |
| 276× | *-lowering-*.f64 |
| 212× | /-lowering-/.f32 |
| 212× | /-lowering-/.f64 |
| 210× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 72 |
| 1 | 117 | 26 |
| 0 | 1165 | 26 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(sqrt (+ (* x x) (* x x))) |
(+ (* x (sqrt 2)) 0) |
(sqrt 2) |
(sqrt (* x (+ x x))) |
(+ x x) |
(* x (+ x x)) |
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))) |
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))) |
(+ (* (* x x) (* x x)) 0) |
(sqrt (+ (* (* x x) (* x x)) 0)) |
(/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0))) |
(sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) |
(/ 1 (+ (* (* x x) (* x x)) 0)) |
| Outputs |
|---|
#s(literal 0 binary64) |
(+.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
(-.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(*.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(*.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(fabs.f64 (*.f64 x x)) |
(sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fabs.f64 (*.f64 x x))) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 x x))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/4 binary64))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(pow.f64 (*.f64 x x) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
| 1× | egg-herbie |
| 130× | *-lowering-*.f32 |
| 130× | *-lowering-*.f64 |
| 130× | accelerator-lowering-fma.f32 |
| 130× | accelerator-lowering-fma.f64 |
| 64× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 620 |
| 1 | 34 | 620 |
| 2 | 67 | 620 |
| 3 | 116 | 620 |
| 4 | 135 | 620 |
| 5 | 176 | 620 |
| 6 | 210 | 620 |
| 7 | 239 | 620 |
| 8 | 276 | 620 |
| 9 | 281 | 620 |
| 0 | 281 | 620 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* (pow x 3) (sqrt 2)) |
(* (pow x 3) (sqrt 2)) |
(* (pow x 3) (sqrt 2)) |
(* (pow x 3) (sqrt 2)) |
(* (pow x 3) (sqrt 2)) |
(* (pow x 3) (sqrt 2)) |
(* (pow x 3) (sqrt 2)) |
(* (pow x 3) (sqrt 2)) |
(* -1 (* (pow x 3) (sqrt 2))) |
(* -1 (* (pow x 3) (sqrt 2))) |
(* -1 (* (pow x 3) (sqrt 2))) |
(* -1 (* (pow x 3) (sqrt 2))) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
| Outputs |
|---|
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow x 2)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (sqrt 2)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* -1 (* x (sqrt 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* (pow x 3) (sqrt 2)) |
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (sqrt 2)) |
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (sqrt 2)) |
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (sqrt 2)) |
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (sqrt 2)) |
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (sqrt 2)) |
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (sqrt 2)) |
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (sqrt 2)) |
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (sqrt 2))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (sqrt 2))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (sqrt 2))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (sqrt 2))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
Compiled 11 091 to 654 computations (94.1% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 449 | 8 | 457 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 453 | 10 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (fma.f64 x (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
| ✓ | 99.9% | (hypot.f64 x x) |
| 28.7% | (/.f64 (fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) | |
| ▶ | 55.5% | (/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| 18.6% | (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (fma.f64 x x #s(literal 0 binary64))) | |
| ▶ | 55.5% | (*.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) |
| ▶ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| 17.6% | (sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) | |
| ✓ | 55.8% | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| ▶ | 3.8% | #s(literal 0 binary64) |
Compiled 257 to 136 computations (47.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 12544 | (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | cost-diff | 1408 | (*.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) |
| ✓ | cost-diff | 1600 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1472 | (/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | cost-diff | 1600 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| 6 684× | accelerator-lowering-fma.f32 |
| 6 684× | accelerator-lowering-fma.f64 |
| 6 456× | *-lowering-*.f32 |
| 6 456× | *-lowering-*.f64 |
| 1 928× | swap-sqr |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 90 |
| 1 | 43 | 90 |
| 2 | 125 | 74 |
| 3 | 468 | 74 |
| 4 | 2092 | 73 |
| 5 | 3048 | 72 |
| 6 | 3897 | 72 |
| 7 | 5228 | 72 |
| 8 | 6530 | 72 |
| 0 | 8087 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt 2) x) |
(sqrt 2) |
2 |
x |
0 |
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0)) |
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) |
x |
(* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
(sqrt 2) |
2 |
(+ (* x (sqrt 2)) 0) |
0 |
(* (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (/ 1 (+ (* x (sqrt 2)) 0))) |
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) |
x |
(* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
(sqrt 2) |
2 |
(+ (* x (sqrt 2)) 0) |
0 |
(/ 1 (+ (* x (sqrt 2)) 0)) |
1 |
(+ (* x (exp (* (log 2) 1/2))) 0) |
x |
(exp (* (log 2) 1/2)) |
(* (log 2) 1/2) |
(log 2) |
2 |
1/2 |
0 |
| Outputs |
|---|
(* (sqrt 2) x) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
x |
0 |
#s(literal 0 binary64) |
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ (* x (sqrt 2)) 0) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (/ 1 (+ (* x (sqrt 2)) 0))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ (* x (sqrt 2)) 0) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ 1 (+ (* x (sqrt 2)) 0)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ (* x (exp (* (log 2) 1/2))) 0) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
x |
(exp (* (log 2) 1/2)) |
(sqrt.f64 #s(literal 2 binary64)) |
(* (log 2) 1/2) |
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
0 |
#s(literal 0 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.4% | (fma.f64 x (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
| ✓ | accuracy | 98.4% | (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 99.4% | (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 55.6% | (*.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.4% | (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 55.5% | (/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| 42.0ms | 256× | 0 | valid |
Compiled 136 to 22 computations (83.8% saved)
ival-mult: 10.0ms (33.5% of total)ival-div: 8.0ms (26.8% of total)ival-add: 3.0ms (10.1% of total)ival-exp: 3.0ms (10.1% of total)ival-log: 3.0ms (10.1% of total)ival-sqrt: 2.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt 2)> |
#<alt (* (sqrt 2) x)> |
#<alt (* (sqrt 2) (+ (* x (sqrt 2)) 0))> |
#<alt (/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))> |
#<alt (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)> |
#<alt (* (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (/ 1 (+ (* x (sqrt 2)) 0)))> |
#<alt (/ 1 (+ (* x (sqrt 2)) 0))> |
#<alt (exp (* (log 2) 1/2))> |
#<alt (+ (* x (exp (* (log 2) 1/2))) 0)> |
#<alt (log 2)> |
#<alt (* (log 2) 1/2)> |
#<alt (+ (* x (sqrt 2)) 0)> |
| Outputs |
|---|
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* (pow x 2) (pow (sqrt 2) 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (/ 1 (* x (sqrt 2)))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
| 0.0ms | x | @ | 0 | (/ 1 (+ (* x (sqrt 2)) 0)) |
| 0.0ms | x | @ | inf | (/ 1 (+ (* x (sqrt 2)) 0)) |
| 0.0ms | x | @ | inf | (* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
| 0.0ms | x | @ | -inf | (/ 1 (+ (* x (sqrt 2)) 0)) |
| 1× | batch-egg-rewrite |
| 4 020× | *-lowering-*.f32 |
| 4 020× | *-lowering-*.f64 |
| 3 742× | accelerator-lowering-fma.f32 |
| 3 742× | accelerator-lowering-fma.f64 |
| 2 942× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 52 |
| 1 | 97 | 49 |
| 2 | 699 | 43 |
| 3 | 7680 | 43 |
| 0 | 9005 | 43 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt 2) |
(* (sqrt 2) x) |
(* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0)) |
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) |
(* (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (/ 1 (+ (* x (sqrt 2)) 0))) |
(/ 1 (+ (* x (sqrt 2)) 0)) |
(exp (* (log 2) 1/2)) |
(+ (* x (exp (* (log 2) 1/2))) 0) |
(log 2) |
(* (log 2) 1/2) |
(+ (* x (sqrt 2)) 0) |
| Outputs |
|---|
(+.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) |
(-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) x) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64))) x #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))) |
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| 1× | egg-herbie |
| 36× | *-lowering-*.f32 |
| 36× | *-lowering-*.f64 |
| 12× | associate-*r* |
| 10× | *-commutative |
| 10× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 480 |
| 1 | 19 | 408 |
| 2 | 33 | 408 |
| 3 | 39 | 408 |
| 0 | 39 | 408 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (pow (sqrt 2) 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(/ 1 (* x (sqrt 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (pow (sqrt 2) 2)) |
(*.f64 x #s(literal 2 binary64)) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (pow (sqrt 2) 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* x (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
Compiled 198 786 to 9 120 computations (95.4% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 6 779 | 3 | 6 782 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 6 785 | 7 | 6 792 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (hypot.f64 x x) |
| ▶ | 51.8% | (/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))) |
| ▶ | 99.3% | (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 99.3% | (/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 55.8% | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| ✓ | 3.8% | #s(literal 0 binary64) |
Compiled 56 to 35 computations (37.5% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 384 | (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) |
| ✓ | cost-diff | 1024 | (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))) |
| ✓ | cost-diff | 1472 | (/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))) |
| ✓ | cost-diff | 1600 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | cost-diff | 1024 | (/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
| 5 514× | *-lowering-*.f32 |
| 5 514× | *-lowering-*.f64 |
| 2 262× | /-lowering-/.f32 |
| 2 262× | /-lowering-/.f64 |
| 1 660× | cube-div |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 81 |
| 1 | 49 | 81 |
| 2 | 141 | 73 |
| 3 | 739 | 73 |
| 4 | 3147 | 63 |
| 5 | 4484 | 63 |
| 6 | 5162 | 63 |
| 7 | 6820 | 63 |
| 8 | 7539 | 63 |
| 0 | 8079 | 63 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (/ (sqrt 2) x)) |
2 |
(/ (sqrt 2) x) |
(sqrt 2) |
x |
(/ x (* (sqrt 2) 1/2)) |
x |
(* (sqrt 2) 1/2) |
(sqrt 2) |
2 |
1/2 |
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))) |
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) |
x |
(* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
(sqrt 2) |
2 |
(+ (* x (sqrt 2)) 0) |
0 |
(* (* x x) (/ 2 (+ (* (sqrt 2) x) 0))) |
(* x x) |
(/ 2 (+ (* (sqrt 2) x) 0)) |
(+ (* (sqrt 2) x) 0) |
| Outputs |
|---|
(/ 2 (/ (sqrt 2) x)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (sqrt 2) x) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
x |
(/ x (* (sqrt 2) 1/2)) |
(/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
x |
(* (sqrt 2) 1/2) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ (* x (sqrt 2)) 0) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (* x x) (/ 2 (+ (* (sqrt 2) x) 0))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ 2 (+ (* (sqrt 2) x) 0)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(+ (* (sqrt 2) x) 0) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 55.6% | (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))) |
| ✓ | accuracy | 55.5% | (/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
| ✓ | accuracy | 99.4% | (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| 34.0ms | 256× | 0 | valid |
Compiled 109 to 22 computations (79.8% saved)
ival-mult: 9.0ms (39.4% of total)ival-div: 8.0ms (35% of total)ival-add: 3.0ms (13.1% of total)ival-sqrt: 2.0ms (8.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 2 (/ (sqrt 2) x))> |
#<alt (/ (sqrt 2) x)> |
#<alt (sqrt 2)> |
#<alt (/ x (* (sqrt 2) 1/2))> |
#<alt (* (sqrt 2) 1/2)> |
#<alt (* (sqrt 2) (+ (* x (sqrt 2)) 0))> |
#<alt (/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0))))> |
#<alt (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))> |
#<alt (/ 2 (+ (* (sqrt 2) x) 0))> |
#<alt (+ (* x (sqrt 2)) 0)> |
| Outputs |
|---|
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (/ (sqrt 2) x)> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* x (pow (sqrt 2) 2))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (* 2 (/ x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (/ 2 (* x (sqrt 2)))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))) |
| 1.0ms | x | @ | 0 | (/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))) |
| 0.0ms | x | @ | -inf | (/ 2 (/ (sqrt 2) x)) |
| 0.0ms | x | @ | inf | (/ 2 (/ (sqrt 2) x)) |
| 0.0ms | x | @ | -inf | (/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))) |
| 1× | batch-egg-rewrite |
| 5 176× | accelerator-lowering-fma.f32 |
| 5 176× | accelerator-lowering-fma.f64 |
| 3 904× | *-lowering-*.f32 |
| 3 904× | *-lowering-*.f64 |
| 3 486× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 51 |
| 1 | 130 | 51 |
| 2 | 908 | 36 |
| 0 | 8936 | 36 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (/ (sqrt 2) x)) |
(/ (sqrt 2) x) |
(sqrt 2) |
(/ x (* (sqrt 2) 1/2)) |
(* (sqrt 2) 1/2) |
(* (sqrt 2) (+ (* x (sqrt 2)) 0)) |
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))) |
(* (* x x) (/ 2 (+ (* (sqrt 2) x) 0))) |
(/ 2 (+ (* (sqrt 2) x) 0)) |
(+ (* x (sqrt 2)) 0) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) |
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) |
(-.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 x x) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 x x) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
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(*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x)) |
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(*.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) #s(literal -2 binary64)) |
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 528 |
| 1 | 29 | 492 |
| 2 | 58 | 492 |
| 3 | 95 | 372 |
| 4 | 115 | 372 |
| 5 | 861 | 372 |
| 6 | 2430 | 372 |
| 7 | 2609 | 372 |
| 8 | 2732 | 372 |
| 9 | 2908 | 372 |
| 10 | 3125 | 372 |
| 11 | 3377 | 372 |
| 12 | 3683 | 372 |
| 1× | node limit |
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