
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 11 computations (0% saved)
| 566.0ms | 8 256× | 0 | valid |
ival-add: 122.0ms (33.7% of total)ival-div: 93.0ms (25.7% of total)ival-sub: 81.0ms (22.4% of total)ival-mult: 52.0ms (14.4% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% of total)| 1× | egg-herbie |
| 2 832× | lower-fma.f64 |
| 2 832× | lower-fma.f32 |
| 1 518× | sub-neg |
| 1 490× | div-sub |
| 1 298× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 141 |
| 1 | 170 | 126 |
| 2 | 511 | 126 |
| 3 | 1660 | 126 |
| 4 | 5370 | 126 |
| 5 | 7727 | 126 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 48 | 9 |
| 3 | 83 | 9 |
| 4 | 166 | 9 |
| 5 | 301 | 9 |
| 6 | 587 | 9 |
| 7 | 1372 | 9 |
| 8 | 2733 | 9 |
| 9 | 4698 | 9 |
| 10 | 5064 | 9 |
| 11 | 5108 | 9 |
| 12 | 5116 | 9 |
| 13 | 5116 | 9 |
| 14 | 5508 | 9 |
| 15 | 5676 | 9 |
| 16 | 5676 | 9 |
| 17 | 5676 | 9 |
| 0 | 5676 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(negabs t)
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 255 | (3.285791858239173e-37 1.1584902594081405e+201 -1.3743604387396237e-254 4.010648031389974e+285) | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 256 | 0 | - | 256 | (3.285791858239173e-37 1.1584902594081405e+201 -1.3743604387396237e-254 4.010648031389974e+285) | (-.f64 (+.f64 x y) z) |
| 256 | 0 | - | 256 | (3.285791858239173e-37 1.1584902594081405e+201 -1.3743604387396237e-254 4.010648031389974e+285) | (*.f64 t #s(literal 2 binary64)) |
| 132 | 0 | - | 132 | (-2.3309765683839204e+198 -1.7484552675741706e+99 6.844899339225939e-103 2.5759230928814967e-182) | (+.f64 x y) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) | n/o | 1 | 0 |
| ↳ | (*.f64 t #s(literal 2 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 109 to 49 computations (55% saved)
ival-div: 4.0ms (31.9% of total)ival-add: 3.0ms (23.9% of total)ival-mult: 3.0ms (23.9% of total)ival-sub: 2.0ms (15.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 x y) z) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 2 832× | lower-fma.f64 |
| 2 832× | lower-fma.f32 |
| 1 490× | div-sub |
| 1 104× | lower-*.f32 |
| 1 102× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 0 | 13 | 25 |
| 1 | 24 | 25 |
| 2 | 48 | 25 |
| 3 | 83 | 25 |
| 4 | 166 | 25 |
| 5 | 301 | 25 |
| 6 | 587 | 25 |
| 7 | 1372 | 25 |
| 8 | 2733 | 25 |
| 9 | 4698 | 25 |
| 10 | 5064 | 25 |
| 11 | 5108 | 25 |
| 12 | 5116 | 25 |
| 13 | 5116 | 25 |
| 14 | 5508 | 25 |
| 15 | 5676 | 25 |
| 16 | 5676 | 25 |
| 17 | 5676 | 25 |
| 0 | 5676 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 y (-.f64 x z)) |
(+.f64 x y) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 50.6% | (+.f64 x y) |
| ✓ | accuracy | 18.8% | (*.f64 t #s(literal 2 binary64)) |
| ✓ | accuracy | 3.0% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | accuracy | 2.3% | (-.f64 (+.f64 x y) z) |
| 22.0ms | 256× | 0 | valid |
Compiled 56 to 20 computations (64.3% saved)
ival-sub: 9.0ms (63.8% of total)ival-div: 2.0ms (14.2% of total)ival-add: 1.0ms (7.1% of total)ival-mult: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 x y) z)> |
#<alt (+.f64 x y)> |
#<alt (*.f64 t #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))> |
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))> |
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (- y z)> |
#<alt (- (+ x y) z)> |
#<alt (- (+ x y) z)> |
#<alt (- (+ x y) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))> |
#<alt (- x z)> |
#<alt (- (+ x y) z)> |
#<alt (- (+ x y) z)> |
#<alt (- (+ x y) z)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))> |
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))> |
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y (* -1 z)))> |
#<alt (+ x (+ y (* -1 z)))> |
#<alt (+ x (+ y (* -1 z)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) 1))> |
#<alt (* z (- (+ (/ x z) (/ y z)) 1))> |
#<alt (* z (- (+ (/ x z) (/ y z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (/ (- (+ x y) z) (* t 2)) |
| 1.0ms | x | @ | inf | (/ (- (+ x y) z) (* t 2)) |
| 1.0ms | y | @ | 0 | (/ (- (+ x y) z) (* t 2)) |
| 1.0ms | t | @ | 0 | (/ (- (+ x y) z) (* t 2)) |
| 1.0ms | t | @ | inf | (/ (- (+ x y) z) (* t 2)) |
Compiled 302 to 212 computations (29.8% saved)
| 1× | batch-egg-rewrite |
| 5 046× | lower-*.f32 |
| 5 044× | lower-*.f64 |
| 4 338× | lower-/.f32 |
| 4 336× | lower-/.f64 |
| 3 708× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(+.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))) |
(+.f64 (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t))) |
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t))) |
(exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 #s(literal 2 binary64) (+.f64 x (-.f64 y z))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x (-.f64 y z)) t))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (+.f64 y z))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z z) (+.f64 x (+.f64 y z))) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x (-.f64 y z)) t))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z)))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 t (*.f64 #s(literal 2 binary64) (+.f64 x (+.f64 y z))))) (/.f64 (*.f64 z z) (*.f64 t (*.f64 #s(literal 2 binary64) (+.f64 x (+.f64 y z)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (/.f64 (*.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) (fma.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t))))) (/.f64 (*.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) (fma.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z)))) (/.f64 (/.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) t) (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
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(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (*.f64 (-.f64 y x) (*.f64 y (-.f64 y x))))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64))) |
(neg.f64 (*.f64 t #s(literal -2 binary64))) |
(/.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(*.f64 #s(literal 2 binary64) (/.f64 t #s(literal 1 binary64))) |
(*.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 t #s(literal -2 binary64))) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
| 1× | egg-herbie |
| 7 608× | lower-fma.f64 |
| 7 608× | lower-fma.f32 |
| 3 770× | lower-*.f64 |
| 3 770× | lower-*.f32 |
| 2 474× | lower--.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 716 |
| 1 | 317 | 716 |
| 2 | 879 | 716 |
| 3 | 2923 | 638 |
| 4 | 7510 | 638 |
| 0 | 8693 | 638 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
t |
t |
t |
t |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- x z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ y t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ y t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(- x z) |
(-.f64 x z) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
t |
t |
t |
t |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
Compiled 15 617 to 1 472 computations (90.6% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 602 | 9 | 611 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 603 | 9 | 612 |
| Status | Accuracy | Program |
|---|---|---|
| 95.8% | (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) | |
| ▶ | 98.4% | (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
| 65.7% | (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) | |
| ▶ | 67.0% | (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
| 73.4% | (/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))) | |
| ▶ | 32.5% | (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
| 40.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) | |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
| ▶ | 39.3% | (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
Compiled 210 to 148 computations (29.5% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) t) |
| ✓ | cost-diff | 896 | (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x z) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
| ✓ | cost-diff | 0 | (/.f64 y t) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
| ✓ | cost-diff | 0 | (-.f64 y z) |
| ✓ | cost-diff | 0 | (+.f64 x (-.f64 y z)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
| 2 832× | lower-fma.f32 |
| 2 830× | lower-fma.f64 |
| 1 104× | lower-*.f32 |
| 1 096× | lower-*.f64 |
| 850× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 98 |
| 0 | 38 | 95 |
| 1 | 67 | 95 |
| 2 | 120 | 95 |
| 3 | 211 | 95 |
| 4 | 372 | 95 |
| 5 | 649 | 95 |
| 6 | 1212 | 95 |
| 7 | 2330 | 95 |
| 8 | 3851 | 95 |
| 9 | 4688 | 95 |
| 10 | 4914 | 95 |
| 11 | 4936 | 95 |
| 12 | 4942 | 95 |
| 13 | 4946 | 95 |
| 14 | 5094 | 95 |
| 15 | 5150 | 95 |
| 16 | 5150 | 95 |
| 0 | 5150 | 95 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(+.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
y |
z |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
#s(literal 1/2 binary64) |
(/.f64 y t) |
y |
t |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
t |
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) |
(+.f64 x y) |
x |
y |
(*.f64 t #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x y) z)) t) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(+.f64 x (-.f64 y z)) |
(-.f64 (+.f64 x y) z) |
x |
(-.f64 y z) |
y |
z |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
#s(literal 1/2 binary64) |
(/.f64 y t) |
y |
t |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(/.f64 z (*.f64 t #s(literal -2 binary64))) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
t |
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x y) z)) t) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) |
(+.f64 x y) |
x |
y |
(*.f64 t #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 4.1% | (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
| ✓ | accuracy | 4.1% | (+.f64 x y) |
| ✓ | accuracy | 3.4% | (*.f64 t #s(literal 2 binary64)) |
| ✓ | accuracy | 1.6% | (/.f64 #s(literal -1/2 binary64) t) |
| ✓ | accuracy | 4.3% | (-.f64 x z) |
| ✓ | accuracy | 3.8% | (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | accuracy | 3.4% | (*.f64 t #s(literal 2 binary64)) |
| ✓ | accuracy | 3.6% | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | accuracy | 2.4% | (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
| ✓ | accuracy | 35.4% | (/.f64 y t) |
| ✓ | accuracy | 4.5% | (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
| ✓ | accuracy | 100.0% | (-.f64 y z) |
| ✓ | accuracy | 35.6% | (+.f64 x (-.f64 y z)) |
| ✓ | accuracy | 2.4% | (/.f64 #s(literal 1/2 binary64) t) |
| ✓ | accuracy | 2.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
| 71.0ms | 256× | 0 | valid |
Compiled 203 to 47 computations (76.8% saved)
ival-sub: 35.0ms (63.6% of total)ival-div: 10.0ms (18.2% of total)ival-mult: 7.0ms (12.7% of total)ival-add: 3.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))> |
#<alt (/.f64 #s(literal 1/2 binary64) t)> |
#<alt (+.f64 x (-.f64 y z))> |
#<alt (-.f64 y z)> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y t))> |
#<alt (/.f64 y t)> |
#<alt (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)> |
#<alt (*.f64 z #s(literal -1/2 binary64))> |
#<alt (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))> |
#<alt (-.f64 x z)> |
#<alt (*.f64 t #s(literal 2 binary64))> |
#<alt (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))> |
#<alt (/.f64 #s(literal -1/2 binary64) t)> |
#<alt (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))> |
#<alt (+.f64 x y)> |
| Outputs |
|---|
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- (+ x y) z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))> |
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))> |
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (- y z)> |
#<alt (- (+ x y) z)> |
#<alt (- (+ x y) z)> |
#<alt (- (+ x y) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))> |
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))> |
#<alt (- x z)> |
#<alt (- (+ x y) z)> |
#<alt (- (+ x y) z)> |
#<alt (- (+ x y) z)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))> |
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))> |
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y (* -1 z)))> |
#<alt (+ x (+ y (* -1 z)))> |
#<alt (+ x (+ y (* -1 z)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (/ x z) (/ y z)) 1))> |
#<alt (* z (- (+ (/ x z) (/ y z)) 1))> |
#<alt (* z (- (+ (/ x z) (/ y z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))> |
#<alt (* -1 z)> |
#<alt (- y z)> |
#<alt (- y z)> |
#<alt (- y z)> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt y> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt y> |
#<alt (+ y (* -1 z))> |
#<alt (+ y (* -1 z))> |
#<alt (+ y (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1/2 (/ z t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* -1 z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)> |
#<alt (* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t))> |
#<alt (* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t))> |
#<alt (* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t))> |
#<alt (* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t)))))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t)))))> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (* 1/2 (/ y t))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | y | @ | inf | (* 1/2 (/ y t)) |
| 3.0ms | t | @ | inf | (/ (- x z) (* t 2)) |
| 2.0ms | y | @ | 0 | (* 1/2 (/ y t)) |
| 1.0ms | t | @ | 0 | (+ (* z (/ -1/2 t)) (/ (+ x y) (* t 2))) |
| 1.0ms | t | @ | inf | (+ (* z (/ -1/2 t)) (/ (+ x y) (* t 2))) |
Compiled 948 to 673 computations (29% saved)
| 1× | batch-egg-rewrite |
| 5 506× | lower-/.f32 |
| 5 494× | lower-/.f64 |
| 4 404× | lower-fma.f32 |
| 4 402× | lower-fma.f64 |
| 3 608× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 74 |
| 0 | 38 | 71 |
| 1 | 155 | 71 |
| 2 | 1552 | 71 |
| 0 | 8650 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(/.f64 #s(literal 1/2 binary64) t) |
(+.f64 x (-.f64 y z)) |
(-.f64 y z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(/.f64 y t) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 z #s(literal -1/2 binary64)) |
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 x z) |
(*.f64 t #s(literal 2 binary64)) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) |
(+.f64 x y) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(+.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 t t)) (/.f64 (-.f64 z (-.f64 (neg.f64 y) x)) (*.f64 t #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 z (-.f64 (neg.f64 y) x)) (*.f64 t #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) t))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 t t)) (/.f64 (-.f64 z (-.f64 (neg.f64 y) x)) (*.f64 t #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 z (-.f64 (neg.f64 y) x)) (*.f64 t #s(literal -2 binary64))))) |
(-.f64 (/.f64 y (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 z x) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 (neg.f64 y) x) z) (*.f64 t #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 t t)) (/.f64 (-.f64 (-.f64 (neg.f64 y) x) z) (*.f64 t #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x y) z)) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (+.f64 (-.f64 x y) z)) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 x (*.f64 t #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 x y) z) (*.f64 t #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 x y) z) (*.f64 t #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 y z)) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) x) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (neg.f64 t)) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) z) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) (neg.f64 t)) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) z (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
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(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
| 1× | egg-herbie |
| 6 436× | lower-fma.f64 |
| 6 436× | lower-fma.f32 |
| 4 256× | lower-*.f64 |
| 4 256× | lower-*.f32 |
| 1 508× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 2054 |
| 1 | 629 | 2054 |
| 2 | 1867 | 2054 |
| 3 | 6235 | 2054 |
| 0 | 8486 | 2054 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1/2 (/ z t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ x t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
t |
t |
t |
t |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(* 1/2 (/ y t)) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ x t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- y z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- x z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ y t)) |
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(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ y t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ y t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(* 1/2 (/ y t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ y t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ y t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
Compiled 28 551 to 2 105 computations (92.6% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 538 | 7 | 1 545 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 542 | 12 | 1 554 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.9% | (fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
| 64.6% | (fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64)))) | |
| ▶ | 65.2% | (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
| 65.7% | (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) | |
| ✓ | 67.0% | (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 32.5% | (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
| ▶ | 40.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
| ▶ | 18.7% | (/.f64 (neg.f64 z) t) |
| ▶ | 67.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
| 73.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) | |
| 32.4% | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| ✓ | 39.3% | (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
Compiled 235 to 172 computations (26.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y t) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) t) |
| ✓ | cost-diff | 896 | (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
| ✓ | cost-diff | 0 | (-.f64 x z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 z) t) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 t #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 y z) t) |
| ✓ | cost-diff | 896 | (fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
| 2 832× | lower-fma.f32 |
| 2 828× | lower-fma.f64 |
| 1 104× | lower-*.f32 |
| 1 096× | lower-*.f64 |
| 822× | distribute-lft-out |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 96 |
| 0 | 41 | 96 |
| 1 | 69 | 96 |
| 2 | 108 | 96 |
| 3 | 181 | 93 |
| 4 | 282 | 93 |
| 5 | 419 | 93 |
| 6 | 665 | 93 |
| 7 | 1140 | 90 |
| 8 | 2105 | 90 |
| 9 | 3941 | 90 |
| 10 | 4276 | 90 |
| 11 | 4293 | 90 |
| 12 | 4297 | 90 |
| 13 | 4297 | 90 |
| 14 | 4661 | 90 |
| 15 | 4881 | 90 |
| 16 | 6109 | 90 |
| 17 | 6109 | 90 |
| 18 | 6109 | 90 |
| 0 | 6109 | 90 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
y |
z |
t |
#s(literal 1/2 binary64) |
(/.f64 x (*.f64 t #s(literal 2 binary64))) |
x |
(*.f64 t #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 z) t) |
(neg.f64 z) |
z |
t |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
t |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(-.f64 x z) |
x |
z |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
#s(literal 1/2 binary64) |
(/.f64 y t) |
y |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
y |
z |
t |
#s(literal 1/2 binary64) |
(/.f64 x (*.f64 t #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
x |
(*.f64 t #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 z) t) |
(/.f64 z (neg.f64 t)) |
(neg.f64 z) |
z |
t |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
t |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(-.f64 x z) |
x |
z |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(/.f64 y (*.f64 t #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 y t) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 8.7% | (/.f64 y t) |
| ✓ | accuracy | 5.2% | (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
| ✓ | accuracy | 3.9% | (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
| ✓ | accuracy | 1.6% | (/.f64 #s(literal -1/2 binary64) t) |
| ✓ | accuracy | 12.0% | (-.f64 x z) |
| ✓ | accuracy | 3.1% | (/.f64 #s(literal 1/2 binary64) t) |
| ✓ | accuracy | 2.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
| ✓ | accuracy | 3.3% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 2.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
| ✓ | accuracy | 6.0% | (/.f64 (neg.f64 z) t) |
| ✓ | accuracy | 6.0% | (neg.f64 z) |
| ✓ | accuracy | 3.0% | (/.f64 (-.f64 y z) t) |
| ✓ | accuracy | 2.5% | (*.f64 t #s(literal 2 binary64)) |
| ✓ | accuracy | 2.4% | (-.f64 y z) |
| ✓ | accuracy | 2.0% | (/.f64 x (*.f64 t #s(literal 2 binary64))) |
| 45.0ms | 256× | 0 | valid |
Compiled 200 to 50 computations (75% saved)
ival-div: 11.0ms (40.8% of total)ival-mult: 8.0ms (29.7% of total)ival-sub: 3.0ms (11.1% of total)ival-add: 3.0ms (11.1% of total)ival-neg: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))> |
#<alt (/.f64 (-.f64 y z) t)> |
#<alt (-.f64 y z)> |
#<alt (/.f64 x (*.f64 t #s(literal 2 binary64)))> |
#<alt (/.f64 (neg.f64 z) t)> |
#<alt (neg.f64 z)> |
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)> |
#<alt (*.f64 #s(literal 1/2 binary64) x)> |
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))> |
#<alt (/.f64 #s(literal 1/2 binary64) t)> |
#<alt (-.f64 x z)> |
#<alt (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))> |
#<alt (/.f64 #s(literal -1/2 binary64) t)> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y t))> |
#<alt (/.f64 y t)> |
#<alt (*.f64 t #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t)))))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) z)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) z)) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) z)) (* 1/2 (/ 1 t)))))> |
#<alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t)> |
#<alt (* -1 (/ (+ (* -1/2 x) (* -1/2 (- y z))) t))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* -1/2 (- y z))) t))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* -1/2 (- y z))) t))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* -1/2 (- y z))) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* x (+ (* 1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (/ z t))> |
#<alt (+ (* -1 (/ z t)) (/ y t))> |
#<alt (+ (* -1 (/ z t)) (/ y t))> |
#<alt (+ (* -1 (/ z t)) (/ y t))> |
#<alt (/ y t)> |
#<alt (* y (+ (* -1 (/ z (* t y))) (/ 1 t)))> |
#<alt (* y (+ (* -1 (/ z (* t y))) (/ 1 t)))> |
#<alt (* y (+ (* -1 (/ z (* t y))) (/ 1 t)))> |
#<alt (/ y t)> |
#<alt (* -1 (* y (- (/ z (* t y)) (/ 1 t))))> |
#<alt (* -1 (* y (- (/ z (* t y)) (/ 1 t))))> |
#<alt (* -1 (* y (- (/ z (* t y)) (/ 1 t))))> |
#<alt (/ y t)> |
#<alt (+ (* -1 (/ z t)) (/ y t))> |
#<alt (+ (* -1 (/ z t)) (/ y t))> |
#<alt (+ (* -1 (/ z t)) (/ y t))> |
#<alt (* -1 (/ z t))> |
#<alt (* z (- (/ y (* t z)) (/ 1 t)))> |
#<alt (* z (- (/ y (* t z)) (/ 1 t)))> |
#<alt (* z (- (/ y (* t z)) (/ 1 t)))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t))))> |
#<alt (* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t))))> |
#<alt (* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t))))> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (/ (- y z) t)> |
#<alt (* -1 z)> |
#<alt (- y z)> |
#<alt (- y z)> |
#<alt (- y z)> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt y> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt y> |
#<alt (+ y (* -1 z))> |
#<alt (+ y (* -1 z))> |
#<alt (+ y (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 (/ z t))> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* 1/2 (/ (- x z) t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (* -1 z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (/ (+ (* -1/2 z) (* 1/2 y)) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 y)) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 y)) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 y)) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 y)) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 y)) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 y)) t)> |
#<alt (/ (+ (* -1/2 z) (* 1/2 y)) t)> |
#<alt (* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t))> |
#<alt (* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t))> |
#<alt (* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t))> |
#<alt (* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (/ y t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | t | @ | -inf | (+ (* (/ (- y z) t) 1/2) (/ x (* t 2))) |
| 2.0ms | t | @ | -inf | (* 1/2 (/ y t)) |
| 1.0ms | t | @ | 0 | (/ (* 1/2 x) t) |
| 1.0ms | t | @ | inf | (+ (* (/ (- y z) t) 1/2) (/ x (* t 2))) |
| 1.0ms | t | @ | 0 | (+ (* (/ (- y z) t) 1/2) (/ x (* t 2))) |
Compiled 872 to 610 computations (30% saved)
| 1× | batch-egg-rewrite |
| 5 296× | lower-/.f32 |
| 5 282× | lower-/.f64 |
| 4 890× | lower-*.f32 |
| 4 882× | lower-*.f64 |
| 4 114× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 76 |
| 0 | 41 | 76 |
| 1 | 156 | 76 |
| 2 | 1235 | 76 |
| 0 | 8684 | 76 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
(/.f64 x (*.f64 t #s(literal 2 binary64))) |
(/.f64 (neg.f64 z) t) |
(neg.f64 z) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(/.f64 #s(literal 1/2 binary64) t) |
(-.f64 x z) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
(/.f64 #s(literal -1/2 binary64) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(/.f64 y t) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))) |
(+.f64 (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 t y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 y (neg.f64 t))) |
(neg.f64 (/.f64 y (neg.f64 t))) |
(neg.f64 (/.f64 (neg.f64 y) t)) |
(/.f64 y t) |
(/.f64 (neg.f64 y) (neg.f64 t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) t) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 t)) |
(pow.f64 (/.f64 t y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 t))) |
(*.f64 #s(literal 1 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) y) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64))) |
(/.f64 t #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 t) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 (neg.f64 (neg.f64 t)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64)) |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
| 1× | egg-herbie |
| 12 316× | lower-fma.f64 |
| 12 316× | lower-fma.f32 |
| 4 912× | lower-*.f64 |
| 4 912× | lower-*.f32 |
| 1 994× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 2265 |
| 1 | 470 | 2175 |
| 2 | 1447 | 1899 |
| 3 | 4992 | 1893 |
| 0 | 8371 | 1890 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(* 1/2 (/ y t)) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(* -1/2 (/ z t)) |
(* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t)))) |
(* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t)))) |
(* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) z)) (* 1/2 (/ 1 t))))) |
(/ (+ (* 1/2 x) (* 1/2 (- y z))) t) |
(/ (+ (* 1/2 x) (* 1/2 (- y z))) t) |
(/ (+ (* 1/2 x) (* 1/2 (- y z))) t) |
(/ (+ (* 1/2 x) (* 1/2 (- y z))) t) |
(/ (+ (* 1/2 x) (* 1/2 (- y z))) t) |
(/ (+ (* 1/2 x) (* 1/2 (- y z))) t) |
(/ (+ (* 1/2 x) (* 1/2 (- y z))) t) |
(/ (+ (* 1/2 x) (* 1/2 (- y z))) t) |
(* -1 (/ (+ (* -1/2 x) (* -1/2 (- y z))) t)) |
(* -1 (/ (+ (* -1/2 x) (* -1/2 (- y z))) t)) |
(* -1 (/ (+ (* -1/2 x) (* -1/2 (- y z))) t)) |
(* -1 (/ (+ (* -1/2 x) (* -1/2 (- y z))) t)) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (/ z t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(/ y t) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(/ y t) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(/ y t) |
(+ (* -1 (/ z t)) (/ y t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(* -1 (/ z t)) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* -1 (/ z t)) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 (/ z t)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* 1/2 (/ (- x z) t)) |
(* -1/2 (/ z t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ x t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* 1/2 (/ y t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t)) |
(* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t)) |
(* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t)) |
(* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t)) |
(* -1/2 (/ z t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(* 1/2 (/ y t)) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
t |
t |
t |
t |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
| Outputs |
|---|
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t y)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t))) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t y)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t))) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t y)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t))) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) y))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) y))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) y))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(* z (- (+ (* 1/2 (/ x (* t z))) (* 1/2 (/ y (* t z)))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) z)) (* 1/2 (/ 1 t))))) |
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(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ (+ (* -1/2 z) (* 1/2 y)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (/ (+ (* -1/2 y) (* 1/2 z)) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
t |
t |
t |
t |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
Compiled 20 827 to 2 489 computations (88% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 270 | 3 | 1 273 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 271 | 14 | 1 285 |
| Status | Accuracy | Program |
|---|---|---|
| 70.7% | (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) | |
| 64.6% | (fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64)))) | |
| ✓ | 65.2% | (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
| ▶ | 65.7% | (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 67.0% | (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 32.5% | (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
| ✓ | 40.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
| ✓ | 18.7% | (/.f64 (neg.f64 z) t) |
| ▶ | 8.0% | (/.f64 (neg.f64 x) t) |
| ✓ | 67.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
| ▶ | 73.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
| ▶ | 40.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
| ▶ | 32.4% | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
| ✓ | 39.3% | (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
Compiled 223 to 165 computations (26% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) t) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 x) t) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
| 1 392× | lower-fma.f64 |
| 1 392× | lower-fma.f32 |
| 816× | lower-*.f32 |
| 808× | lower-*.f64 |
| 644× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 64 |
| 0 | 29 | 64 |
| 1 | 58 | 64 |
| 2 | 104 | 64 |
| 3 | 139 | 64 |
| 4 | 204 | 64 |
| 5 | 292 | 64 |
| 6 | 419 | 64 |
| 7 | 670 | 64 |
| 8 | 1254 | 64 |
| 9 | 2176 | 64 |
| 10 | 2783 | 64 |
| 11 | 3233 | 64 |
| 12 | 3421 | 64 |
| 13 | 3435 | 64 |
| 14 | 3439 | 64 |
| 15 | 3455 | 64 |
| 16 | 3461 | 64 |
| 0 | 3461 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(+.f64 x y) |
x |
y |
(/.f64 (neg.f64 x) t) |
(neg.f64 x) |
x |
t |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
z |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
x |
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(+.f64 x y) |
x |
y |
(/.f64 (neg.f64 x) t) |
(/.f64 x (neg.f64 t)) |
(neg.f64 x) |
x |
t |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 z (*.f64 t #s(literal -2 binary64))) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
z |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 x (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
x |
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 4.7% | (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | accuracy | 3.7% | (-.f64 y z) |
| ✓ | accuracy | 2.0% | (*.f64 t #s(literal 2 binary64)) |
| ✓ | accuracy | 4.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
| ✓ | accuracy | 2.4% | (/.f64 #s(literal 1/2 binary64) t) |
| ✓ | accuracy | 4.3% | (/.f64 #s(literal -1/2 binary64) t) |
| ✓ | accuracy | 4.3% | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 2.1% | (/.f64 (neg.f64 x) t) |
| ✓ | accuracy | 50.6% | (+.f64 x y) |
| ✓ | accuracy | 8.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
| ✓ | accuracy | 2.4% | (/.f64 #s(literal 1/2 binary64) t) |
| 35.0ms | 256× | 0 | valid |
Compiled 134 to 38 computations (71.6% saved)
ival-mult: 10.0ms (47.1% of total)ival-div: 7.0ms (33% of total)ival-sub: 1.0ms (4.7% of total)ival-add: 1.0ms (4.7% of total)ival-neg: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))> |
#<alt (/.f64 #s(literal 1/2 binary64) t)> |
#<alt (+.f64 x y)> |
#<alt (/.f64 (neg.f64 x) t)> |
#<alt (neg.f64 x)> |
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)> |
#<alt (/.f64 #s(literal -1/2 binary64) t)> |
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)> |
#<alt (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))> |
#<alt (-.f64 y z)> |
#<alt (*.f64 t #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ (+ x y) t))> |
#<alt (* 1/2 (/ y t))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ x t))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 (/ x t))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ -1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (/ 1/2 t)> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* 1/2 (/ x t))> |
#<alt (* -1/2 (/ z t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ y t))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))> |
#<alt (* -1/2 (/ z t))> |
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* 1/2 (/ (- y z) t))> |
#<alt (* -1 z)> |
#<alt (- y z)> |
#<alt (- y z)> |
#<alt (- y z)> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt (* y (+ 1 (* -1 (/ z y))))> |
#<alt y> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt (* -1 (* y (- (/ z y) 1)))> |
#<alt y> |
#<alt (+ y (* -1 z))> |
#<alt (+ y (* -1 z))> |
#<alt (+ y (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* z (- (/ y z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/ (neg x) t) |
| 0.0ms | t | @ | 0 | (* (/ 1/2 t) (+ x y)) |
| 0.0ms | t | @ | 0 | (* (/ -1/2 t) z) |
| 0.0ms | z | @ | 0 | (* (/ -1/2 t) z) |
| 0.0ms | x | @ | inf | (/ (neg x) t) |
Compiled 445 to 319 computations (28.3% saved)
| 1× | batch-egg-rewrite |
| 4 808× | lower-*.f32 |
| 4 800× | lower-*.f64 |
| 4 742× | lower-/.f32 |
| 4 734× | lower-/.f64 |
| 3 358× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 45 |
| 0 | 29 | 45 |
| 1 | 106 | 45 |
| 2 | 695 | 45 |
| 0 | 8421 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) t) |
(+.f64 x y) |
(/.f64 (neg.f64 x) t) |
(neg.f64 x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 y z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (/.f64 y (*.f64 t #s(literal 2 binary64))) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (/.f64 (-.f64 x y) (*.f64 t #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (/.f64 (-.f64 x y) (*.f64 t #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) y (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (neg.f64 t)) #s(literal -1/2 binary64) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 t)) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) t) y) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t #s(literal 2 binary64))) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 1/2 binary64) y) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64)) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x #s(literal 2 binary64)) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) t) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) t) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64)) (neg.f64 x) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 y) t) #s(literal -1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) t) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 y (neg.f64 t)) #s(literal -1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) (+.f64 x y))) |
(neg.f64 (*.f64 (+.f64 x y) (/.f64 #s(literal -1/2 binary64) t))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (neg.f64 t))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x y) #s(literal -1/2 binary64)) t)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 t (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) t)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 t))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 t #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 t #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 t (-.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) t) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 t)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 t #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) t) (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (-.f64 x y) t)) (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (/.f64 (*.f64 y y) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) (/.f64 (*.f64 x y) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) (fma.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (/.f64 y (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 y y) (*.f64 #s(literal 4 binary64) (*.f64 t t))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) (/.f64 (-.f64 x y) (*.f64 t #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 t #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 t #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 t #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 t (*.f64 #s(literal 2 binary64) (-.f64 x y)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 t (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 t (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 t (-.f64 x y))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 t) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 t) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 t (-.f64 x y)))) |
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| 1× | egg-herbie |
| 5 796× | lower-fma.f64 |
| 5 796× | lower-fma.f32 |
| 3 090× | lower-*.f64 |
| 3 090× | lower-*.f32 |
| 2 008× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1147 |
| 1 | 288 | 1147 |
| 2 | 810 | 1027 |
| 3 | 2775 | 1027 |
| 4 | 5243 | 1027 |
| 5 | 7869 | 1027 |
| 0 | 8061 | 1027 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ (+ x y) t)) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ x t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ -1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* -1/2 (/ z t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(* 1/2 (/ y t)) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ y t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* 1/2 (/ (- y z) t)) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
t |
t |
t |
t |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
| Outputs |
|---|
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* 1/2 (/ (- y z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t)) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
t |
t |
t |
t |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
Compiled 18 808 to 2 316 computations (87.7% saved)
16 alts after pruning (4 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 221 | 2 | 1 223 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 221 | 16 | 1 237 |
| Status | Accuracy | Program |
|---|---|---|
| 70.7% | (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) | |
| 64.6% | (fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64)))) | |
| ✓ | 65.2% | (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
| ✓ | 65.7% | (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 67.0% | (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 32.5% | (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
| ✓ | 40.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
| ✓ | 18.7% | (/.f64 (neg.f64 z) t) |
| ✓ | 8.0% | (/.f64 (neg.f64 x) t) |
| 3.5% | (/.f64 #s(literal 1/2 binary64) t) | |
| 3.8% | (/.f64 #s(literal -1/2 binary64) t) | |
| ✓ | 67.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
| ✓ | 73.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
| ✓ | 40.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
| ✓ | 32.4% | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
| ✓ | 39.3% | (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
Compiled 323 to 169 computations (47.7% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
(fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
8 calls:
| 9.0ms | (+.f64 x y) |
| 9.0ms | y |
| 8.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 7.0ms | (*.f64 t #s(literal 2 binary64)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 99.7% | 1 | (-.f64 (+.f64 x y) z) |
| 99.7% | 1 | (+.f64 x y) |
| 99.7% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 56 to 42 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))) |
8 calls:
| 42.0ms | x |
| 9.0ms | (+.f64 x y) |
| 5.0ms | (*.f64 t #s(literal 2 binary64)) |
| 5.0ms | t |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 3 | x |
| 91.5% | 2 | y |
| 92.4% | 4 | z |
| 79.3% | 3 | t |
| 98.8% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 98.8% | 2 | (-.f64 (+.f64 x y) z) |
| 99.3% | 2 | (+.f64 x y) |
| 79.3% | 3 | (*.f64 t #s(literal 2 binary64)) |
Compiled 56 to 42 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))) |
5 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 (+.f64 x y) z) |
| 5.0ms | y |
| 5.0ms | (+.f64 x y) |
| 5.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 3 | x |
| 89.7% | 2 | y |
| 87.6% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 87.5% | 2 | (-.f64 (+.f64 x y) z) |
| 90.8% | 2 | (+.f64 x y) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
1 calls:
| 4.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 2 | (+.f64 x y) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
5 calls:
| 25.0ms | (-.f64 (+.f64 x y) z) |
| 4.0ms | (+.f64 x y) |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 1 | (-.f64 (+.f64 x y) z) |
| 73.5% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 83.5% | 3 | z |
| 77.0% | 3 | y |
| 82.0% | 3 | (+.f64 x y) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
2 calls:
| 4.0ms | z |
| 4.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 3 | (+.f64 x y) |
| 62.6% | 4 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
1 calls:
| 4.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 3 | (+.f64 x y) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
1 calls:
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | (+.f64 x y) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
8 calls:
| 11.0ms | (*.f64 t #s(literal 2 binary64)) |
| 3.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | t |
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 3 | z |
| 52.7% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 52.7% | 2 | (-.f64 (+.f64 x y) z) |
| 54.5% | 2 | y |
| 44.7% | 3 | x |
| 44.7% | 3 | t |
| 44.7% | 3 | (*.f64 t #s(literal 2 binary64)) |
| 55.8% | 2 | (+.f64 x y) |
Compiled 56 to 42 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
| Outputs |
|---|
(/.f64 (neg.f64 z) t) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y t)) |
(/.f64 (neg.f64 z) t) |
5 calls:
| 5.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | (+.f64 x y) |
| 3.0ms | z |
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.4% | 2 | (-.f64 (+.f64 x y) z) |
| 43.4% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 44.4% | 2 | y |
| 46.9% | 3 | z |
| 45.1% | 2 | (+.f64 x y) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
(/.f64 (neg.f64 z) t) |
| Outputs |
|---|
(/.f64 (neg.f64 z) t) |
8 calls:
| 3.0ms | t |
| 2.0ms | y |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| 2.0ms | (+.f64 x y) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.7% | 1 | x |
| 18.7% | 1 | t |
| 18.7% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 18.7% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 18.7% | 1 | (-.f64 (+.f64 x y) z) |
| 18.7% | 1 | y |
| 18.7% | 1 | (+.f64 x y) |
| 18.7% | 1 | z |
Compiled 56 to 42 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
| Outputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 (neg.f64 x) t) |
8 calls:
| 3.0ms | (+.f64 x y) |
| 2.0ms | z |
| 2.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.0% | 1 | x |
| 8.0% | 1 | y |
| 8.0% | 1 | (+.f64 x y) |
| 10.2% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 10.1% | 2 | (-.f64 (+.f64 x y) z) |
| 8.0% | 1 | z |
| 8.0% | 1 | t |
| 8.0% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 56 to 42 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
| Outputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) t) |
8 calls:
| 5.0ms | t |
| 2.0ms | y |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| 2.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.8% | 1 | z |
| 3.8% | 1 | y |
| 3.8% | 1 | t |
| 3.8% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 3.8% | 1 | (+.f64 x y) |
| 3.8% | 1 | x |
| 5.7% | 2 | (-.f64 (+.f64 x y) z) |
| 5.7% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 56 to 42 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
| Outputs |
|---|
(/.f64 #s(literal -1/2 binary64) t) |
5 calls:
| 1.0ms | z |
| 1.0ms | (-.f64 (+.f64 x y) z) |
| 1.0ms | (+.f64 x y) |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.8% | 1 | x |
| 3.8% | 1 | z |
| 3.8% | 1 | (+.f64 x y) |
| 3.8% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 3.8% | 1 | (-.f64 (+.f64 x y) z) |
Compiled 39 to 28 computations (28.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.247766104264673e-154 | -7.376749974428973e-209 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.222693283199508e-14 | 0.0531644842395648 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.222693283199508e-14 | 0.0531644842395648 |
Compiled 16 to 16 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3479408808864912e+121 | 4.63768745470991e+128 |
| 12.0ms | -1.6139758570104066e+177 | -4.68669923696169e+175 |
| 15.0ms | 256× | 0 | valid |
Compiled 368 to 288 computations (21.7% saved)
ival-div: 2.0ms (32.5% of total)ival-sub: 1.0ms (16.3% of total)ival-add: 1.0ms (16.3% of total)ival-mult: 1.0ms (16.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.222693283199508e-14 | 0.0531644842395648 |
| 0.0ms | -9.983581758045718e-12 | -1.9310381361134527e-14 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.222693283199508e-14 | 0.0531644842395648 |
| 0.0ms | -9.983581758045718e-12 | -1.9310381361134527e-14 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.222693283199508e-14 | 0.0531644842395648 |
| 0.0ms | -9.983581758045718e-12 | -1.9310381361134527e-14 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.222693283199508e-14 | 0.0531644842395648 |
Compiled 16 to 16 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.3995960919371927e+153 | 1.0309901564294627e+165 |
| 7.0ms | -1.6139758570104066e+177 | -4.68669923696169e+175 |
| 12.0ms | 240× | 0 | valid |
Compiled 339 to 271 computations (20.1% saved)
ival-div: 2.0ms (35.3% of total)ival-sub: 1.0ms (17.6% of total)ival-add: 1.0ms (17.6% of total)ival-mult: 1.0ms (17.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.270527197597e-274 | -9.835526728841433e-300 |
Compiled 16 to 16 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -1.4332879285333537e-111 | -2.247766104264673e-154 |
| 7.0ms | 192× | 0 | valid |
Compiled 208 to 184 computations (11.5% saved)
ival-div: 1.0ms (34.9% of total)ival-mult: 1.0ms (34.9% 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 |
| 28× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 252 |
| 1 | 90 | 252 |
| 2 | 104 | 252 |
| 3 | 112 | 252 |
| 4 | 116 | 252 |
| 5 | 117 | 252 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(if (<=.f64 (+.f64 x y) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))) |
(if (<=.f64 z #s(literal -49000000000000000083817932442691900754999095260200673566266414630449563202125768564682425150353453967074771646043269096032489343212622940770921264346301972454698207166588780544 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 18500000000000000394945952859481570983081664651840652342144417656491044437093309356637383721714543626814544853076841651503104 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))) |
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))) |
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
(if (<=.f64 z #s(literal -120000000000000006517519903427913865486212527237455788270278502834912573672082404996443361004228684907816729942197728991448190351838291685981200878301823271712228643764707524608 binary64)) (/.f64 (neg.f64 z) t) (if (<=.f64 z #s(literal 440000000000000011014019627054127424455297829851573478604093116073147279665561320973424345281458886849677385477822795333353641541164387847000440712203132460238635008 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) (/.f64 (neg.f64 z) t))) |
(/.f64 (neg.f64 z) t) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal -7796251209119999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 (neg.f64 x) t)) |
(if (<=.f64 (-.f64 (+.f64 x y) z) #s(literal -3396566182339387/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) t) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(if (<=.f64 (+.f64 x y) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))) |
(if (<=.f64 z #s(literal -49000000000000000083817932442691900754999095260200673566266414630449563202125768564682425150353453967074771646043269096032489343212622940770921264346301972454698207166588780544 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 18500000000000000394945952859481570983081664651840652342144417656491044437093309356637383721714543626814544853076841651503104 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))) |
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)))) |
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) (*.f64 #s(literal 1/2 binary64) (/.f64 y t))) |
(if (<=.f64 z #s(literal -120000000000000006517519903427913865486212527237455788270278502834912573672082404996443361004228684907816729942197728991448190351838291685981200878301823271712228643764707524608 binary64)) (/.f64 (neg.f64 z) t) (if (<=.f64 z #s(literal 440000000000000011014019627054127424455297829851573478604093116073147279665561320973424345281458886849677385477822795333353641541164387847000440712203132460238635008 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) (/.f64 (neg.f64 z) t))) |
(if (<=.f64 z #s(literal -120000000000000006517519903427913865486212527237455788270278502834912573672082404996443361004228684907816729942197728991448190351838291685981200878301823271712228643764707524608 binary64)) (/.f64 z (neg.f64 t)) (if (<=.f64 z #s(literal 440000000000000011014019627054127424455297829851573478604093116073147279665561320973424345281458886849677385477822795333353641541164387847000440712203132460238635008 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y t)) (/.f64 z (neg.f64 t)))) |
(/.f64 (neg.f64 z) t) |
(/.f64 z (neg.f64 t)) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal -7796251209119999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 (neg.f64 x) t)) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal -7796251209119999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952 binary64)) (/.f64 #s(literal -1/2 binary64) t) (neg.f64 (/.f64 x t))) |
(if (<=.f64 (-.f64 (+.f64 x y) z) #s(literal -3396566182339387/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) t) |
| 12 316× | lower-fma.f64 |
| 12 316× | lower-fma.f32 |
| 7 608× | lower-fma.f64 |
| 7 608× | lower-fma.f32 |
| 6 436× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 2054 |
| 1 | 629 | 2054 |
| 2 | 1867 | 2054 |
| 3 | 6235 | 2054 |
| 0 | 8486 | 2054 |
| 0 | 96 | 1147 |
| 1 | 288 | 1147 |
| 2 | 810 | 1027 |
| 3 | 2775 | 1027 |
| 4 | 5243 | 1027 |
| 5 | 7869 | 1027 |
| 0 | 8061 | 1027 |
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 0 | 22 | 74 |
| 0 | 38 | 71 |
| 1 | 155 | 71 |
| 2 | 1552 | 71 |
| 0 | 8650 | 71 |
| 0 | 157 | 2265 |
| 1 | 470 | 2175 |
| 2 | 1447 | 1899 |
| 3 | 4992 | 1893 |
| 0 | 8371 | 1890 |
| 0 | 23 | 76 |
| 0 | 41 | 76 |
| 1 | 156 | 76 |
| 2 | 1235 | 76 |
| 0 | 8684 | 76 |
| 0 | 104 | 716 |
| 1 | 317 | 716 |
| 2 | 879 | 716 |
| 3 | 2923 | 638 |
| 4 | 7510 | 638 |
| 0 | 8693 | 638 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 736 to 419 computations (43.1% saved)
(sort x y)
(negabs t)
Compiled 642 to 220 computations (65.7% saved)
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