
Time bar (total: 5.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 351.0ms | 8 256× | 0 | valid |
ival-sub: 56.0ms (45% of total)ival-div: 56.0ms (45% of total)ival-true: 5.0ms (4% of total)exact: 4.0ms (3.2% of total)ival-assert: 3.0ms (2.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 19.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-sub: 6.0ms (60.6% of total)ival-div: 3.0ms (30.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 44× | associate-*l* |
| 42× | times-frac |
| 36× | lower-+.f64 |
| 36× | lower-+.f32 |
| 34× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 20 | 11 |
| 2 | 47 | 10 |
| 3 | 100 | 10 |
| 4 | 195 | 10 |
| 5 | 284 | 10 |
| 6 | 295 | 10 |
| 7 | 309 | 10 |
| 8 | 322 | 10 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 10 | 5 |
| 2 | 14 | 5 |
| 3 | 19 | 5 |
| 4 | 26 | 5 |
| 5 | 36 | 5 |
| 6 | 51 | 5 |
| 7 | 74 | 5 |
| 8 | 96 | 5 |
| 9 | 104 | 5 |
| 10 | 106 | 5 |
| 0 | 106 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| 36× | lower-+.f64 |
| 36× | lower-+.f32 |
| 26× | sub-neg |
| 26× | lower--.f32 |
| 24× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 10 | 10 |
| 2 | 14 | 10 |
| 3 | 19 | 10 |
| 4 | 26 | 10 |
| 5 | 36 | 10 |
| 6 | 51 | 10 |
| 7 | 74 | 10 |
| 8 | 96 | 10 |
| 9 | 104 | 10 |
| 10 | 106 | 10 |
| 0 | 106 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| 8.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (59.6% of total)ival-sub: 1.0ms (29.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((/ x (- 1 x)) (- 1 x)) |
| 0.0ms | x | @ | inf | ((/ x (- 1 x)) (- 1 x)) |
| 0.0ms | x | @ | 0 | ((/ x (- 1 x)) (- 1 x)) |
| 1× | egg-herbie |
| 4 624× | lower-fma.f64 |
| 4 624× | lower-fma.f32 |
| 1 546× | unsub-neg |
| 1 096× | lower-*.f64 |
| 1 096× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 135 |
| 1 | 93 | 120 |
| 2 | 220 | 114 |
| 3 | 545 | 112 |
| 4 | 1047 | 112 |
| 5 | 1955 | 112 |
| 6 | 3384 | 112 |
| 7 | 4540 | 112 |
| 8 | 4656 | 112 |
| 9 | 4656 | 112 |
| 10 | 4818 | 112 |
| 11 | 4893 | 112 |
| 12 | 4893 | 112 |
| 0 | 4893 | 109 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
| 3 858× | lower-/.f32 |
| 3 856× | lower-/.f64 |
| 3 778× | lower-fma.f64 |
| 3 778× | lower-fma.f32 |
| 2 920× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 29 | 8 |
| 2 | 183 | 8 |
| 3 | 1612 | 8 |
| 0 | 9347 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (hypot.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (fma.f64 x x x) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x x)) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) x x)) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x x) x x) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) x x)) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
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(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (neg.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 10 184 to 1 290 computations (87.3% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 4 | 448 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 444 | 5 | 449 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.6% | (/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | 100.0% | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 48.4% | #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
| ▶ | 47.6% | #s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
| ▶ | 52.8% | #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
Compiled 31 to 21 computations (32.3% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (neg.f64 (fma.f64 x x x)) | |
| cost-diff | 128 | (+.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| cost-diff | 704 | (/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x x x) x x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 x)) (fma.f64 x x x)) | |
| cost-diff | 0 | #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
| 20 294× | lower-fma.f32 |
| 20 290× | lower-fma.f64 |
| 2 986× | lower-*.f32 |
| 2 984× | lower-*.f64 |
| 1 588× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 78 |
| 0 | 21 | 78 |
| 1 | 39 | 78 |
| 2 | 86 | 78 |
| 3 | 213 | 72 |
| 4 | 502 | 72 |
| 5 | 1704 | 72 |
| 6 | 6008 | 72 |
| 0 | 8069 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(fma.f64 x x x) |
x |
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
(fma.f64 (fma.f64 x x x) x x) |
(fma.f64 x x x) |
x |
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (fma.f64 x x x)) |
(fma.f64 x x x) |
x |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(fma.f64 x x x) |
x |
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
(fma.f64 (fma.f64 x x x) x x) |
(fma.f64 x x x) |
x |
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(fma.f64 x x x) |
x |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x x) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 (fma.f64 x x x)) | |
| accuracy | 17.405851766180156 | (/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 x x x) x x) | |
| accuracy | 32.99373111196749 | #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) | |
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 33.52754776234219 | #s(approx (/ x (- 1 x)) (fma.f64 x x x)) | |
| accuracy | 30.208077028476232 | #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
| 200.0ms | 256× | 0 | valid |
Compiled 72 to 14 computations (80.6% saved)
ival-sub: 181.0ms (94.2% of total)ival-div: 3.0ms (1.6% of total)ival-add: 3.0ms (1.6% of total)ival-mult: 3.0ms (1.6% of total)ival-neg: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation:binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (patch (/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation:binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (+.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation:binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 x x x)) (patch (neg.f64 (fma.f64 x x x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x x)) (patch (neg.f64 (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x x)) (patch (neg.f64 (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
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#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (+.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (+.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x x)) (patch (neg.f64 (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x x)) (patch (neg.f64 (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x x)) (patch (neg.f64 (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x x)) (patch (neg.f64 (fma.f64 x x x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | -inf | ((/ x (- 1 x)) (/ x (- 1 x)) (+ (* x x) x) (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (/ (neg (+ (* x x) x)) (+ -1 (* x x))) (+ -1 (* x x)) (neg (+ (* x x) x)) (* x x)) |
| 1.0ms | x | @ | inf | ((/ x (- 1 x)) (/ x (- 1 x)) (+ (* x x) x) (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (/ (neg (+ (* x x) x)) (+ -1 (* x x))) (+ -1 (* x x)) (neg (+ (* x x) x)) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ x (- 1 x)) (/ x (- 1 x)) (+ (* x x) x) (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (/ (neg (+ (* x x) x)) (+ -1 (* x x))) (+ -1 (* x x)) (neg (+ (* x x) x)) (* x x)) |
| 1× | egg-herbie |
| 12 030× | lower-fma.f64 |
| 12 030× | lower-fma.f32 |
| 2 958× | lower-*.f64 |
| 2 958× | lower-*.f32 |
| 1 532× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 664 |
| 1 | 129 | 640 |
| 2 | 366 | 603 |
| 3 | 1145 | 595 |
| 4 | 2989 | 595 |
| 5 | 6208 | 595 |
| 0 | 8133 | 542 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 x)))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(* -1 x) |
(* x (- (* -1 x) 1)) |
(* x (- (* -1 x) 1)) |
(* x (- (* -1 x) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 x) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* x (- (* -1 x) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* x (- (* -1 x) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 x x x) x x) |
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 x x x) x x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(fma.f64 (fma.f64 x x x) x x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(fma.f64 (fma.f64 x x x) x x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 7 442× | lower-fma.f32 |
| 7 438× | lower-fma.f64 |
| 4 732× | lower-*.f32 |
| 4 730× | lower-*.f64 |
| 4 166× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 65 |
| 0 | 21 | 65 |
| 1 | 96 | 59 |
| 2 | 702 | 59 |
| 0 | 8320 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(fma.f64 x x x) |
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
(fma.f64 (fma.f64 x x x) x x) |
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (fma.f64 x x x) x x))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x) (-.f64 (hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x) |
(*.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x x))) |
(*.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) x) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x x) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x x) (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x (neg.f64 x)) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x (neg.f64 x)))) |
(*.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) (hypot.f64 (*.f64 x x) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 9 binary64)))) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
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(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) |
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(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (hypot.f64 (*.f64 x x) x) (-.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x x) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(neg.f64 (fma.f64 x x x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (fma.f64 x x x) x x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x) (-.f64 (hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x x)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x x) (neg.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) x (neg.f64 x)) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 (neg.f64 x) x x)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (neg.f64 x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 (fma.f64 (neg.f64 x) x #s(literal 0 binary64)) x) |
(-.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x x)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x))) |
(-.f64 (*.f64 (neg.f64 x) x) x) |
(-.f64 (neg.f64 x) (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x x x)) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (neg.f64 x)))) (*.f64 x (/.f64 x (fma.f64 x x (neg.f64 x))))) |
(+.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 23 393 to 2 694 computations (88.5% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 235 | 2 | 1 237 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 1 236 | 6 | 1 242 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.6% | (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | 100.0% | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 48.4% | #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
| ✓ | 47.6% | #s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
| ▶ | 3.4% | #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
| ✓ | 52.8% | #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
Compiled 35 to 24 computations (31.4% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 704 | (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* x x) x) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
| 17 388× | lower-fma.f32 |
| 17 386× | lower-fma.f64 |
| 2 408× | lower-*.f32 |
| 2 406× | lower-*.f64 |
| 1 854× | lower--.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 0 | 16 | 50 |
| 1 | 27 | 50 |
| 2 | 39 | 50 |
| 3 | 58 | 50 |
| 4 | 84 | 50 |
| 5 | 154 | 50 |
| 6 | 393 | 45 |
| 7 | 1504 | 45 |
| 8 | 3406 | 45 |
| 9 | 6793 | 45 |
| 0 | 8068 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
#s(approx (+ (* x x) x) (*.f64 x x)) |
(*.f64 x x) |
x |
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 x x x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
#s(approx (+ (* x x) x) (*.f64 x x)) |
(*.f64 x x) |
x |
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 x x x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 17.405851766180156 | (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 29.47571049562406 | #s(approx (+ (* x x) x) (*.f64 x x)) | |
| accuracy | 33.52754776234219 | #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
| 15.0ms | 256× | 0 | valid |
Compiled 42 to 10 computations (76.2% saved)
ival-sub: 3.0ms (34.2% of total)ival-div: 3.0ms (34.2% of total)ival-mult: 2.0ms (22.8% of total)ival-add: 1.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ x (- 1 x)) (+ (* x x) x) (* x x) (/ (+ (* x x) x) (- 1 (* x x))) (+ (* x x) x) (- 1 (* x x))) |
| 0.0ms | x | @ | -inf | ((/ x (- 1 x)) (+ (* x x) x) (* x x) (/ (+ (* x x) x) (- 1 (* x x))) (+ (* x x) x) (- 1 (* x x))) |
| 0.0ms | x | @ | 0 | ((/ x (- 1 x)) (+ (* x x) x) (* x x) (/ (+ (* x x) x) (- 1 (* x x))) (+ (* x x) x) (- 1 (* x x))) |
| 1× | egg-herbie |
| 15 050× | lower-fma.f64 |
| 15 050× | lower-fma.f32 |
| 3 720× | lower-*.f64 |
| 3 720× | lower-*.f32 |
| 2 042× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 391 |
| 1 | 92 | 370 |
| 2 | 220 | 358 |
| 3 | 532 | 354 |
| 4 | 1394 | 354 |
| 5 | 4307 | 354 |
| 6 | 7825 | 354 |
| 0 | 8157 | 326 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
| Outputs |
|---|
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 5 108× | lower-fma.f32 |
| 5 106× | lower-fma.f64 |
| 2 844× | lower-*.f32 |
| 2 842× | lower-*.f64 |
| 2 362× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 0 | 16 | 44 |
| 1 | 71 | 39 |
| 2 | 509 | 39 |
| 3 | 5819 | 39 |
| 0 | 9500 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
#s(approx (+ (* x x) x) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 x x x) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
#s(approx (+ (* x x) x) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x x) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 (fma.f64 x x x) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x x) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (hypot.f64 (*.f64 x x) x)) (fma.f64 x x x)) |
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(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)))) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (hypot.f64 (*.f64 x x) x) (fma.f64 x x x)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (hypot.f64 (*.f64 x x) x))))) |
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 11 550 to 1 402 computations (87.9% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 680 | 0 | 680 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 680 | 6 | 686 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.6% | (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | 100.0% | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 48.4% | #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
| ✓ | 47.6% | #s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
| ✓ | 3.4% | #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
| ✓ | 52.8% | #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
Compiled 81 to 42 computations (48.1% saved)
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
2 calls:
| 4.0ms | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
| Outputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.3% | 2 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
| Outputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
1 calls:
| 2.0ms | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | x |
| 54.5% | 2 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
Compiled 6 to 5 computations (16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | x |
| 52.8% | 1 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999881462803 | -0.014506679273036845 |
Compiled 8 to 8 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999881462803 | -0.014506679273036845 |
Compiled 8 to 8 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.713936958502001e-140 | -3.2155140305889393e-158 |
Compiled 8 to 8 computations (0% saved)
| 1× | egg-herbie |
| 4× | +-commutative-binary64-+.f64 |
| 4× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 95 |
| 1 | 29 | 95 |
| 2 | 32 | 95 |
| 3 | 34 | 95 |
| 4 | 35 | 95 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))) |
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))) |
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))) |
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))) |
#s(approx (/ x (- 1 x)) #s(literal -1 binary64)) |
| 12 030× | lower-fma.f64 |
| 12 030× | lower-fma.f32 |
| 4 624× | lower-fma.f64 |
| 4 624× | lower-fma.f32 |
| 2 958× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 135 |
| 1 | 93 | 120 |
| 2 | 220 | 114 |
| 3 | 545 | 112 |
| 4 | 1047 | 112 |
| 5 | 1955 | 112 |
| 6 | 3384 | 112 |
| 7 | 4540 | 112 |
| 8 | 4656 | 112 |
| 9 | 4656 | 112 |
| 10 | 4818 | 112 |
| 11 | 4893 | 112 |
| 12 | 4893 | 112 |
| 0 | 4893 | 109 |
| 0 | 41 | 664 |
| 1 | 129 | 640 |
| 2 | 366 | 603 |
| 3 | 1145 | 595 |
| 4 | 2989 | 595 |
| 5 | 6208 | 595 |
| 0 | 8133 | 542 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 74 to 36 computations (51.4% saved)
Compiled 120 to 48 computations (60% saved)
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