
Time bar (total: 6.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 37 to 12 computations (67.6% saved)
| 546.0ms | 8 256× | 0 | valid |
ival-add: 124.0ms (33.9% of total)ival-div: 116.0ms (31.7% of total)ival-mult: 109.0ms (29.8% of total)exact: 7.0ms (1.9% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 4.0ms (1.1% of total)| 2× | egg-herbie |
| 21 370× | accelerator-lowering-fma.f32 |
| 21 370× | accelerator-lowering-fma.f64 |
| 4 054× | *-lowering-*.f32 |
| 4 054× | *-lowering-*.f64 |
| 1 848× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 114 |
| 1 | 52 | 102 |
| 2 | 137 | 93 |
| 3 | 504 | 93 |
| 4 | 1859 | 93 |
| 5 | 3399 | 93 |
| 6 | 5312 | 93 |
| 7 | 6567 | 93 |
| 8 | 7550 | 93 |
| 9 | 7832 | 93 |
| 0 | 10 | 35 |
| 1 | 22 | 31 |
| 2 | 48 | 31 |
| 3 | 115 | 31 |
| 4 | 193 | 31 |
| 5 | 234 | 31 |
| 6 | 381 | 31 |
| 7 | 535 | 31 |
| 8 | 680 | 31 |
| 9 | 744 | 31 |
| 10 | 827 | 31 |
| 11 | 1190 | 31 |
| 12 | 2038 | 29 |
| 13 | 3392 | 29 |
| 14 | 5493 | 29 |
| 15 | 5931 | 29 |
| 16 | 5976 | 29 |
| 17 | 5983 | 29 |
| 18 | 5989 | 29 |
| 19 | 7102 | 29 |
| 0 | 8186 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
| Outputs |
|---|
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (fma.f64 t (/.f64 (+.f64 t t) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
| Inputs |
|---|
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
(/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t)))))) |
(neg (/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))))) |
| Outputs |
|---|
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
(/ (+ 1 (* (/ t (+ 1 t)) (* t (/ 4 (+ 1 t))))) (+ 2 (* (/ t (+ 1 t)) (* t (/ 4 (+ 1 t)))))) |
(/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t)))))) |
(/ (+ 1 (* t (/ (/ (* t 4) (+ t -1)) (+ t -1)))) (+ 2 (* t (/ (/ (* t 4) (+ t -1)) (+ t -1))))) |
(neg (/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))))) |
(/ (+ 1 (* t (/ (/ (* t 4) (+ t -1)) (+ t -1)))) (+ -2 (* t (/ (/ (* t 4) (+ t -1)) (- 1 t))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) t) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) t) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 41.0ms | 512× | 0 | valid |
Compiled 276 to 44 computations (84.1% saved)
ival-div: 10.0ms (41.4% of total)ival-add: 7.0ms (29% of total)ival-mult: 6.0ms (24.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) |
Compiled 36 to 10 computations (72.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) t) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) |
| ✓ | cost-diff | 576 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) |
| ✓ | cost-diff | 704 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) |
| 21 370× | accelerator-lowering-fma.f32 |
| 21 370× | accelerator-lowering-fma.f64 |
| 4 054× | *-lowering-*.f32 |
| 4 054× | *-lowering-*.f64 |
| 1 848× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 100 |
| 1 | 22 | 90 |
| 2 | 48 | 90 |
| 3 | 115 | 90 |
| 4 | 193 | 90 |
| 5 | 234 | 90 |
| 6 | 381 | 90 |
| 7 | 535 | 90 |
| 8 | 680 | 90 |
| 9 | 744 | 90 |
| 10 | 827 | 90 |
| 11 | 1190 | 90 |
| 12 | 2038 | 88 |
| 13 | 3392 | 88 |
| 14 | 5493 | 88 |
| 15 | 5931 | 88 |
| 16 | 5976 | 88 |
| 17 | 5983 | 88 |
| 18 | 5989 | 88 |
| 19 | 7102 | 88 |
| 0 | 8186 | 80 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) |
1 |
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) |
(/ (* 2 t) (+ 1 t)) |
(* 2 t) |
2 |
t |
(+ 1 t) |
(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) |
| Outputs |
|---|
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (fma.f64 t (/.f64 (+.f64 t t) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) |
(fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) |
(/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) |
(/ (* 2 t) (+ 1 t)) |
(/.f64 (+.f64 t t) (+.f64 #s(literal 1 binary64) t)) |
(* 2 t) |
(+.f64 t t) |
2 |
#s(literal 2 binary64) |
t |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) |
(fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 2 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) t) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) |
| 37.0ms | 256× | 0 | valid |
Compiled 102 to 12 computations (88.2% saved)
ival-div: 3.0ms (30.2% of total)ival-add: 3.0ms (30.2% of total)ival-mult: 3.0ms (30.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))> |
#<alt (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))> |
#<alt (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))> |
#<alt (* 2 t)> |
#<alt (/ (* 2 t) (+ 1 t))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (* 4 (pow t 2))> |
#<alt (* (pow t 2) (+ 4 (* -8 t)))> |
#<alt (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))> |
#<alt (* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))> |
#<alt 4> |
#<alt (- 4 (* 8 (/ 1 t)))> |
#<alt (- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))> |
#<alt (- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))> |
#<alt 4> |
#<alt (- 4 (* 8 (/ 1 t)))> |
#<alt (+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))> |
#<alt (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))> |
#<alt 1> |
#<alt (+ 1 (* 4 (pow t 2)))> |
#<alt (+ 1 (* (pow t 2) (+ 4 (* -8 t))))> |
#<alt (+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))> |
#<alt 5> |
#<alt (- 5 (* 8 (/ 1 t)))> |
#<alt (- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))> |
#<alt (- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))> |
#<alt 5> |
#<alt (- 5 (* 8 (/ 1 t)))> |
#<alt (+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))> |
#<alt (+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* 2 t)> |
#<alt (* t (+ 2 (* -2 t)))> |
#<alt (* t (+ 2 (* t (- (* 2 t) 2))))> |
#<alt (* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))> |
#<alt 2> |
#<alt (- 2 (* 2 (/ 1 t)))> |
#<alt (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))> |
#<alt (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))> |
#<alt 2> |
#<alt (- 2 (* 2 (/ 1 t)))> |
#<alt (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))> |
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | -inf | (/ (* 2 t) (+ 1 t)) |
| 0.0ms | t | @ | inf | (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
| 0.0ms | t | @ | 0 | (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
| 0.0ms | t | @ | -inf | (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
| 0.0ms | t | @ | -inf | (* 2 t) |
| 1× | batch-egg-rewrite |
| 6 384× | accelerator-lowering-fma.f32 |
| 6 384× | accelerator-lowering-fma.f64 |
| 5 356× | *-lowering-*.f32 |
| 5 356× | *-lowering-*.f64 |
| 3 918× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 75 | 53 |
| 2 | 703 | 53 |
| 0 | 8388 | 50 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) |
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) |
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) |
(* 2 t) |
(/ (* 2 t) (+ 1 t)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (*.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))) #s(literal 4 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))) (*.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -2 binary64))))) |
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(*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) (*.f64 #s(literal 2 binary64) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal -2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) t)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 #s(literal 1 binary64) t))) |
(*.f64 #s(literal -2 binary64) (*.f64 t (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (-.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) t)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) |
(*.f64 (/.f64 t (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 t (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t t))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) t)))) |
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (/.f64 t (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) t)))) |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) t))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 2 binary64) t)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 2 binary64) t)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t)))) (-.f64 #s(literal 1 binary64) t)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) t) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (fma.f64 t (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t t)))) (-.f64 #s(literal 1 binary64) t)) |
| 1× | egg-herbie |
| 12 962× | accelerator-lowering-fma.f32 |
| 12 962× | accelerator-lowering-fma.f64 |
| 2 758× | +-lowering-+.f64 |
| 2 758× | +-lowering-+.f32 |
| 2 576× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 452 |
| 1 | 375 | 452 |
| 2 | 861 | 420 |
| 3 | 1938 | 406 |
| 4 | 5030 | 400 |
| 5 | 7831 | 400 |
| 0 | 8145 | 379 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(* 4 (pow t 2)) |
(* (pow t 2) (+ 4 (* -8 t))) |
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) |
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8)))) |
4 |
(- 4 (* 8 (/ 1 t))) |
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
4 |
(- 4 (* 8 (/ 1 t))) |
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
1 |
(+ 1 (* 4 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 4 (* -8 t)))) |
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
5 |
(- 5 (* 8 (/ 1 t))) |
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
5 |
(- 5 (* 8 (/ 1 t))) |
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* t (+ 2 (* -2 t))) |
(* t (+ 2 (* t (- (* 2 t) 2)))) |
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))) |
2 |
(- 2 (* 2 (/ 1 t))) |
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) |
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) |
2 |
(- 2 (* 2 (/ 1 t))) |
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
(* 4 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 4 binary64)) |
(* (pow t 2) (+ 4 (* -8 t))) |
(*.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64))) |
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) |
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64))) |
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8)))) |
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t (fma.f64 t #s(literal -16 binary64) #s(literal 12 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t)) |
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t)) |
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (pow t 2))) |
(fma.f64 t (*.f64 t #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 4 (* -8 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
5 |
#s(literal 5 binary64) |
(- 5 (* 8 (/ 1 t))) |
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) |
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
5 |
#s(literal 5 binary64) |
(- 5 (* 8 (/ 1 t))) |
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) |
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) 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)) |
(* 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)) |
(* 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)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* t (+ 2 (* -2 t))) |
(*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64))) |
(* t (+ 2 (* t (- (* 2 t) 2)))) |
(*.f64 t (fma.f64 t (fma.f64 t #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 t (fma.f64 t t #s(literal 1 binary64)))) |
2 |
#s(literal 2 binary64) |
(- 2 (* 2 (/ 1 t))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) |
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) |
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) |
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) |
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 0 binary64)) |
2 |
#s(literal 2 binary64) |
(- 2 (* 2 (/ 1 t))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) |
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) |
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t))) |
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 0 binary64)) |
Compiled 47 532 to 2 732 computations (94.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 039 | 11 | 1 050 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 040 | 11 | 1 051 |
| Status | Accuracy | Program |
|---|---|---|
| 73.9% | (fma.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) | |
| ▶ | 52.7% | (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| 53.4% | (fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) | |
| ▶ | 53.4% | (fma.f64 t t #s(literal 1/2 binary64)) |
| 49.5% | (/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) | |
| 74.2% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) | |
| ▶ | 74.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) |
| ▶ | 50.3% | (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
| 49.6% | (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) | |
| 57.8% | #s(literal 5/6 binary64) | |
| ▶ | 60.8% | #s(literal 1/2 binary64) |
Compiled 372 to 170 computations (54.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/27 binary64) t) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
| ✓ | cost-diff | -64 | (*.f64 t t) |
| ✓ | cost-diff | 0 | (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 t t #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) |
| 15 300× | accelerator-lowering-fma.f32 |
| 15 300× | accelerator-lowering-fma.f64 |
| 2 920× | +-lowering-+.f64 |
| 2 920× | +-lowering-+.f32 |
| 2 800× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 188 |
| 1 | 67 | 188 |
| 2 | 155 | 186 |
| 3 | 392 | 186 |
| 4 | 896 | 186 |
| 5 | 1306 | 186 |
| 6 | 1710 | 186 |
| 7 | 3145 | 186 |
| 8 | 4989 | 186 |
| 9 | 6252 | 186 |
| 0 | 8143 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))))) |
1 |
(/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))) |
(+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) |
2 |
(/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))) |
(* t (* t 4)) |
t |
(* t 4) |
4 |
(* (+ 1 t) (+ 1 t)) |
(+ 1 t) |
(+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) |
1/2 |
(+ (* t t) 1/2) |
t |
1/2 |
(+ (* (* t t) (+ (* t -2) 1)) 1/2) |
(* t t) |
t |
(+ (* t -2) 1) |
-2 |
1 |
1/2 |
(- 5/6 (/ (+ 2/9 (/ -1/27 t)) t)) |
5/6 |
(/ (+ 2/9 (/ -1/27 t)) t) |
(+ 2/9 (/ -1/27 t)) |
2/9 |
(/ -1/27 t) |
-1/27 |
t |
| Outputs |
|---|
(/ 1 (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))))) |
(/.f64 (fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))) |
(/.f64 (fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) |
(fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))) |
(fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(* t (* t 4)) |
(fma.f64 #s(literal 4 binary64) (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) |
t |
(* t 4) |
(fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) |
4 |
#s(literal 4 binary64) |
(* (+ 1 t) (+ 1 t)) |
(fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
(+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) |
(fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* t t) 1/2) |
(fma.f64 t t #s(literal 1/2 binary64)) |
t |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (* t t) (+ (* t -2) 1)) 1/2) |
(fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(* t t) |
(fma.f64 t t #s(literal 0 binary64)) |
t |
(+ (* t -2) 1) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
-2 |
#s(literal -2 binary64) |
1 |
#s(literal 1 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(- 5/6 (/ (+ 2/9 (/ -1/27 t)) t)) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(/ (+ 2/9 (/ -1/27 t)) t) |
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) |
(+ 2/9 (/ -1/27 t)) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
2/9 |
#s(literal 2/9 binary64) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
-1/27 |
#s(literal -1/27 binary64) |
t |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1/27 binary64) t) |
| ✓ | accuracy | 100.0% | (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 t t) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 t t #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 75.0% | (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) |
| 55.0ms | 256× | 0 | valid |
Compiled 186 to 30 computations (83.9% saved)
ival-mult: 12.0ms (30.7% of total)ival-div: 9.0ms (23% of total)const: 9.0ms (23% of total)ival-add: 8.0ms (20.4% of total)ival-sub: 1.0ms (2.6% of total)exact: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))))> |
#<alt (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))> |
#<alt (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))> |
#<alt (* (+ 1 t) (+ 1 t))> |
#<alt (+ (* t t) 1/2)> |
#<alt (+ (* (* t t) (+ (* t -2) 1)) 1/2)> |
#<alt (+ (* t -2) 1)> |
#<alt (* t t)> |
#<alt (- 5/6 (/ (+ 2/9 (/ -1/27 t)) t))> |
#<alt (/ (+ 2/9 (/ -1/27 t)) t)> |
#<alt (+ 2/9 (/ -1/27 t))> |
#<alt (/ -1/27 t)> |
#<alt (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))> |
#<alt (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt 2> |
#<alt (+ 2 (* 4 (pow t 2)))> |
#<alt (+ 2 (* (pow t 2) (+ 4 (* -8 t))))> |
#<alt (+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))> |
#<alt 6> |
#<alt (- 6 (* 8 (/ 1 t)))> |
#<alt (- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))> |
#<alt (- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))> |
#<alt 6> |
#<alt (- 6 (* 8 (/ 1 t)))> |
#<alt (+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))> |
#<alt (+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))> |
#<alt 1> |
#<alt (+ 1 (* 4 (pow t 2)))> |
#<alt (+ 1 (* (pow t 2) (+ 4 (* -8 t))))> |
#<alt (+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))> |
#<alt 5> |
#<alt (- 5 (* 8 (/ 1 t)))> |
#<alt (- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))> |
#<alt (- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))> |
#<alt 5> |
#<alt (- 5 (* 8 (/ 1 t)))> |
#<alt (+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))> |
#<alt (+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))> |
#<alt 1> |
#<alt (+ 1 (* 2 t))> |
#<alt (+ 1 (* t (+ 2 t)))> |
#<alt (+ 1 (* t (+ 2 t)))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))> |
#<alt (* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))> |
#<alt (* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (* -2 (pow t 3))> |
#<alt (* (pow t 3) (- (/ 1 t) 2))> |
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))> |
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))> |
#<alt (* -2 (pow t 3))> |
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))> |
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))> |
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))> |
#<alt 1> |
#<alt (+ 1 (* -2 t))> |
#<alt (+ 1 (* -2 t))> |
#<alt (+ 1 (* -2 t))> |
#<alt (* -2 t)> |
#<alt (* t (- (/ 1 t) 2))> |
#<alt (* t (- (/ 1 t) 2))> |
#<alt (* t (- (/ 1 t) 2))> |
#<alt (* -2 t)> |
#<alt (* -1 (* t (- 2 (/ 1 t))))> |
#<alt (* -1 (* t (- 2 (/ 1 t))))> |
#<alt (* -1 (* t (- 2 (/ 1 t))))> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (/ 1/27 (pow t 2))> |
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))> |
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))> |
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (/ -1/27 (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ 2/9 t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ 2/9 t)> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (/ -1/27 t)> |
#<alt (/ (- (* 2/9 t) 1/27) t)> |
#<alt (/ (- (* 2/9 t) 1/27) t)> |
#<alt (/ (- (* 2/9 t) 1/27) t)> |
#<alt 2/9> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt 2/9> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (* 4 (pow t 2))> |
#<alt (* (pow t 2) (+ 4 (* -8 t)))> |
#<alt (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))> |
#<alt (* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))> |
#<alt 4> |
#<alt (- 4 (* 8 (/ 1 t)))> |
#<alt (- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))> |
#<alt (- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))> |
#<alt 4> |
#<alt (- 4 (* 8 (/ 1 t)))> |
#<alt (+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))> |
#<alt (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))> |
#<alt 2> |
#<alt (+ 2 (* -4 (pow t 2)))> |
#<alt (+ 2 (* (pow t 2) (- (* 8 t) 4)))> |
#<alt (+ 2 (* (pow t 2) (- (* t (+ 8 (* 4 t))) 4)))> |
#<alt 6/5> |
#<alt (+ 6/5 (* 8/25 (/ 1 t)))> |
#<alt (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t))))> |
#<alt (- (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) (* 48/625 (/ 1 (pow t 3))))> |
#<alt 6/5> |
#<alt (+ 6/5 (* 8/25 (/ 1 t)))> |
#<alt (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t))))> |
#<alt (+ 6/5 (* -1 (/ (- (* -1 (/ (- 4/125 (* 48/625 (/ 1 t))) t)) 8/25) t)))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | -inf | (/ (+ 2/9 (/ -1/27 t)) t) |
| 0.0ms | t | @ | 0 | (/ (+ 2/9 (/ -1/27 t)) t) |
| 0.0ms | t | @ | 0 | (/ -1/27 t) |
| 0.0ms | t | @ | 0 | (- 5/6 (/ (+ 2/9 (/ -1/27 t)) t)) |
| 0.0ms | t | @ | inf | (+ (* (* t t) (+ (* t -2) 1)) 1/2) |
| 1× | batch-egg-rewrite |
| 4 620× | /-lowering-/.f32 |
| 4 620× | /-lowering-/.f64 |
| 4 462× | *-lowering-*.f32 |
| 4 462× | *-lowering-*.f64 |
| 3 072× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 146 |
| 1 | 199 | 144 |
| 2 | 1785 | 144 |
| 0 | 8219 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))))) |
(+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) |
(+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) |
(* (+ 1 t) (+ 1 t)) |
(+ (* t t) 1/2) |
(+ (* (* t t) (+ (* t -2) 1)) 1/2) |
(+ (* t -2) 1) |
(* t t) |
(- 5/6 (/ (+ 2/9 (/ -1/27 t)) t)) |
(/ (+ 2/9 (/ -1/27 t)) t) |
(+ 2/9 (/ -1/27 t)) |
(/ -1/27 t) |
(/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))) |
(/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) |
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(pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #s(literal 8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) |
| 1× | egg-herbie |
| 15 156× | accelerator-lowering-fma.f32 |
| 15 156× | accelerator-lowering-fma.f64 |
| 3 612× | +-lowering-+.f64 |
| 3 612× | +-lowering-+.f32 |
| 3 596× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1118 |
| 1 | 544 | 1102 |
| 2 | 1375 | 1030 |
| 3 | 3498 | 1014 |
| 4 | 7625 | 1014 |
| 0 | 8261 | 940 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
2 |
(+ 2 (* 4 (pow t 2))) |
(+ 2 (* (pow t 2) (+ 4 (* -8 t)))) |
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
6 |
(- 6 (* 8 (/ 1 t))) |
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
6 |
(- 6 (* 8 (/ 1 t))) |
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
1 |
(+ 1 (* 4 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 4 (* -8 t)))) |
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
5 |
(- 5 (* 8 (/ 1 t))) |
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
5 |
(- 5 (* 8 (/ 1 t))) |
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
1 |
(+ 1 (* 2 t)) |
(+ 1 (* t (+ 2 t))) |
(+ 1 (* t (+ 2 t))) |
(pow t 2) |
(* (pow t 2) (+ 1 (* 2 (/ 1 t)))) |
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (* 2 (/ 1 t)))) |
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2))))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (pow t 2)) |
(+ 1/2 (pow t 2)) |
(pow t 2) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(* -2 (pow t 3)) |
(* (pow t 3) (- (/ 1 t) 2)) |
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2)) |
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2)) |
(* -2 (pow t 3)) |
(* -1 (* (pow t 3) (- 2 (/ 1 t)))) |
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))))) |
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))))) |
1 |
(+ 1 (* -2 t)) |
(+ 1 (* -2 t)) |
(+ 1 (* -2 t)) |
(* -2 t) |
(* t (- (/ 1 t) 2)) |
(* t (- (/ 1 t) 2)) |
(* t (- (/ 1 t) 2)) |
(* -2 t) |
(* -1 (* t (- 2 (/ 1 t)))) |
(* -1 (* t (- 2 (/ 1 t)))) |
(* -1 (* t (- 2 (/ 1 t)))) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ 1/27 (pow t 2)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(/ -1/27 (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ 2/9 t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ 2/9 t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/ -1/27 t) |
(/ (- (* 2/9 t) 1/27) t) |
(/ (- (* 2/9 t) 1/27) t) |
(/ (- (* 2/9 t) 1/27) t) |
2/9 |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
2/9 |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(* 4 (pow t 2)) |
(* (pow t 2) (+ 4 (* -8 t))) |
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) |
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8)))) |
4 |
(- 4 (* 8 (/ 1 t))) |
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
4 |
(- 4 (* 8 (/ 1 t))) |
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
2 |
(+ 2 (* -4 (pow t 2))) |
(+ 2 (* (pow t 2) (- (* 8 t) 4))) |
(+ 2 (* (pow t 2) (- (* t (+ 8 (* 4 t))) 4))) |
6/5 |
(+ 6/5 (* 8/25 (/ 1 t))) |
(+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) |
(- (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) (* 48/625 (/ 1 (pow t 3)))) |
6/5 |
(+ 6/5 (* 8/25 (/ 1 t))) |
(+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) |
(+ 6/5 (* -1 (/ (- (* -1 (/ (- 4/125 (* 48/625 (/ 1 t))) t)) 8/25) t))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(-.f64 (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) (*.f64 t t))) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 4 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow t 2) (+ 4 (* -8 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) |
6 |
#s(literal 6 binary64) |
(- 6 (* 8 (/ 1 t))) |
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)) |
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
6 |
#s(literal 6 binary64) |
(- 6 (* 8 (/ 1 t))) |
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)) |
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (pow t 2))) |
(fma.f64 t (*.f64 t #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 4 (* -8 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
5 |
#s(literal 5 binary64) |
(- 5 (* 8 (/ 1 t))) |
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) |
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
5 |
#s(literal 5 binary64) |
(- 5 (* 8 (/ 1 t))) |
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) |
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 t)) |
(fma.f64 t #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* t (+ 2 t))) |
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* t (+ 2 t))) |
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (* 2 (/ 1 t)))) |
(*.f64 t (+.f64 t #s(literal 2 binary64))) |
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2))))) |
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2))))) |
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (* 2 (/ 1 t)))) |
(*.f64 t (+.f64 t #s(literal 2 binary64))) |
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2))))) |
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2))))) |
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* -2 (pow t 3)) |
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64)))) |
(* (pow t 3) (- (/ 1 t) 2)) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2)) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2)) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* -2 (pow t 3)) |
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64)))) |
(* -1 (* (pow t 3) (- 2 (/ 1 t)))) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))))) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))))) |
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 t)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -2 t)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -2 t)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* -2 t) |
(*.f64 t #s(literal -2 binary64)) |
(* t (- (/ 1 t) 2)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* t (- (/ 1 t) 2)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* t (- (/ 1 t) 2)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* -2 t) |
(*.f64 t #s(literal -2 binary64)) |
(* -1 (* t (- 2 (/ 1 t)))) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* -1 (* t (- 2 (/ 1 t)))) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* -1 (* t (- 2 (/ 1 t)))) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ 1/27 (pow t 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 t t)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(/ -1/27 (pow t 2)) |
(/.f64 #s(literal -1/27 binary64) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ (- (* 2/9 t) 1/27) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(/ (- (* 2/9 t) 1/27) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(/ (- (* 2/9 t) 1/27) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
2/9 |
#s(literal 2/9 binary64) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
2/9 |
#s(literal 2/9 binary64) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(* 4 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 4 binary64)) |
(* (pow t 2) (+ 4 (* -8 t))) |
(*.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64))) |
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) |
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64))) |
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8)))) |
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t (fma.f64 t #s(literal -16 binary64) #s(literal 12 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t)) |
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t)) |
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4 (pow t 2))) |
(fma.f64 t (*.f64 t #s(literal -4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow t 2) (- (* 8 t) 4))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow t 2) (- (* t (+ 8 (* 4 t))) 4))) |
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) |
6/5 |
#s(literal 6/5 binary64) |
(+ 6/5 (* 8/25 (/ 1 t))) |
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) |
(+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) |
(+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t))) |
(- (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) (* 48/625 (/ 1 (pow t 3)))) |
(-.f64 #s(literal 6/5 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 48/625 binary64) t) #s(literal -4/125 binary64)) t) #s(literal -8/25 binary64)) t)) |
6/5 |
#s(literal 6/5 binary64) |
(+ 6/5 (* 8/25 (/ 1 t))) |
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) |
(+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) |
(+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t))) |
(+ 6/5 (* -1 (/ (- (* -1 (/ (- 4/125 (* 48/625 (/ 1 t))) t)) 8/25) t))) |
(-.f64 #s(literal 6/5 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 48/625 binary64) t) #s(literal -4/125 binary64)) t) #s(literal -8/25 binary64)) t)) |
Compiled 36 716 to 3 134 computations (91.5% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 948 | 7 | 955 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 954 | 12 | 966 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.7% | (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ▶ | 53.4% | (fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
| ✓ | 53.4% | (fma.f64 t t #s(literal 1/2 binary64)) |
| 24.7% | (/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t)) | |
| ▶ | 79.6% | (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) |
| ▶ | 50.3% | (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t)))) |
| ▶ | 50.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))) |
| 79.3% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))) | |
| 50.3% | (-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) | |
| 49.6% | (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) | |
| ▶ | 57.8% | #s(literal 5/6 binary64) |
| ✓ | 60.8% | #s(literal 1/2 binary64) |
Compiled 275 to 158 computations (42.5% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 8/25 binary64) t) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 8/25 binary64) t) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))) |
| ✓ | cost-diff | 0 | (+.f64 t #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) |
| ✓ | cost-diff | 0 | (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) |
| 14 638× | accelerator-lowering-fma.f32 |
| 14 638× | accelerator-lowering-fma.f64 |
| 4 030× | +-lowering-+.f64 |
| 4 030× | +-lowering-+.f32 |
| 3 996× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 190 |
| 1 | 76 | 190 |
| 2 | 158 | 190 |
| 3 | 412 | 190 |
| 4 | 798 | 190 |
| 5 | 958 | 190 |
| 6 | 991 | 190 |
| 7 | 1014 | 190 |
| 8 | 1105 | 190 |
| 9 | 1522 | 190 |
| 10 | 1645 | 190 |
| 11 | 1942 | 190 |
| 12 | 3236 | 190 |
| 13 | 5116 | 190 |
| 14 | 5460 | 190 |
| 15 | 5537 | 190 |
| 16 | 5661 | 190 |
| 17 | 5848 | 190 |
| 18 | 5882 | 190 |
| 0 | 8045 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 1) (+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 2)) |
(+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 1) |
t |
(/ (* t 4) (* (+ 1 t) (+ 1 t))) |
(* t 4) |
4 |
(* (+ 1 t) (+ 1 t)) |
(+ 1 t) |
1 |
(+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 2) |
2 |
5/6 |
(+ (* t (* t (+ (* t (+ t -2)) 1))) 1/2) |
t |
(* t (+ (* t (+ t -2)) 1)) |
(+ (* t (+ t -2)) 1) |
(+ t -2) |
-2 |
1 |
1/2 |
(/ 1 (+ 6/5 (/ 8/25 t))) |
1 |
(+ 6/5 (/ 8/25 t)) |
6/5 |
(/ 8/25 t) |
8/25 |
t |
(/ 1 (+ (+ 6/5 (/ 8/25 t)) (/ 4/125 (* t t)))) |
1 |
(+ (+ 6/5 (/ 8/25 t)) (/ 4/125 (* t t))) |
(+ 6/5 (/ 8/25 t)) |
6/5 |
(/ 8/25 t) |
8/25 |
t |
(/ 4/125 (* t t)) |
4/125 |
(* t t) |
| Outputs |
|---|
(/ (+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 1) (+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 2)) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 1) |
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
t |
(/ (* t 4) (* (+ 1 t) (+ 1 t))) |
(/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) |
(* t 4) |
(*.f64 t #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(* (+ 1 t) (+ 1 t)) |
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 t) |
(+.f64 t #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 2) |
(fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
5/6 |
#s(literal 5/6 binary64) |
(+ (* t (* t (+ (* t (+ t -2)) 1))) 1/2) |
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
t |
(* t (+ (* t (+ t -2)) 1)) |
(*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ (* t (+ t -2)) 1) |
(fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ t -2) |
(+.f64 t #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
1 |
#s(literal 1 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 (+ 6/5 (/ 8/25 t))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))) |
1 |
#s(literal 1 binary64) |
(+ 6/5 (/ 8/25 t)) |
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) |
6/5 |
#s(literal 6/5 binary64) |
(/ 8/25 t) |
(/.f64 #s(literal 8/25 binary64) t) |
8/25 |
#s(literal 8/25 binary64) |
t |
(/ 1 (+ (+ 6/5 (/ 8/25 t)) (/ 4/125 (* t t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/25 binary64) t) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 4/125 binary64) (*.f64 t t))))) |
1 |
#s(literal 1 binary64) |
(+ (+ 6/5 (/ 8/25 t)) (/ 4/125 (* t t))) |
(+.f64 (/.f64 #s(literal 8/25 binary64) t) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 4/125 binary64) (*.f64 t t)))) |
(+ 6/5 (/ 8/25 t)) |
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) |
6/5 |
#s(literal 6/5 binary64) |
(/ 8/25 t) |
(/.f64 #s(literal 8/25 binary64) t) |
8/25 |
#s(literal 8/25 binary64) |
t |
(/ 4/125 (* t t)) |
(/.f64 #s(literal 4/125 binary64) (*.f64 t t)) |
4/125 |
#s(literal 4/125 binary64) |
(* t t) |
(*.f64 t t) |
| 3.0ms | 12× | 0 | valid |
Compiled 184 to 33 computations (82.1% saved)
const: 1.0ms (52.4% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Loading profile data...