
Time bar (total: 6.1s)
| 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 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 4 to 3 computations (25% saved)
const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-atanh: 0.0ms (0% of total)| 367.0ms | 8256× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
ival-atanh: 130.0ms (92.9% of total)const: 7.0ms (5% of total)backward-pass: 3.0ms (2.1% of total)| 2× | egg-herbie |
| 124× | accelerator-lowering-fma.f32 |
| 124× | accelerator-lowering-fma.f64 |
| 88× | *-lowering-*.f32 |
| 88× | *-lowering-*.f64 |
| 76× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 11 | 9 |
| 2 | 15 | 9 |
| 3 | 18 | 9 |
| 4 | 22 | 9 |
| 5 | 29 | 9 |
| 6 | 36 | 9 |
| 0 | 10 | 12 |
| 1 | 19 | 12 |
| 2 | 26 | 12 |
| 3 | 32 | 12 |
| 4 | 39 | 12 |
| 5 | 53 | 12 |
| 6 | 91 | 12 |
| 7 | 158 | 12 |
| 8 | 216 | 12 |
| 9 | 244 | 12 |
| 10 | 259 | 12 |
| 11 | 269 | 12 |
| 12 | 269 | 12 |
| 0 | 269 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| Outputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Inputs |
|---|
(atanh x) |
(atanh (neg x)) |
(neg (atanh (neg x))) |
| Outputs |
|---|
(atanh x) |
(atanh (neg x)) |
(neg (atanh (neg x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 111.0ms | 386× | 1 | valid |
| 83.0ms | 108× | 5 | exit |
| 2.0ms | 18× | 0 | valid |
Compiled 85 to 29 computations (65.9% saved)
compiled-spec: 72.0ms (37.7% of total)ival-log: 56.0ms (29.3% of total)backward-pass: 21.0ms (11% of total)ival-mult: 17.0ms (8.9% of total)ival-div: 9.0ms (4.7% of total)ival-add: 8.0ms (4.2% of total)ival-sub: 6.0ms (3.1% of total)const: 3.0ms (1.6% of total)Compiled 11 to 9 computations (18.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 124× | accelerator-lowering-fma.f32 |
| 124× | accelerator-lowering-fma.f64 |
| 88× | *-lowering-*.f32 |
| 88× | *-lowering-*.f64 |
| 76× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 19 | 39 |
| 2 | 26 | 39 |
| 3 | 32 | 39 |
| 4 | 39 | 39 |
| 5 | 53 | 39 |
| 6 | 91 | 39 |
| 7 | 158 | 39 |
| 8 | 216 | 39 |
| 9 | 244 | 39 |
| 10 | 259 | 39 |
| 11 | 269 | 39 |
| 12 | 269 | 39 |
| 0 | 269 | 35 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
1/2 |
(log (+ 1 (/ (* 2 x) (- 1 x)))) |
(/ (* 2 x) (- 1 x)) |
(* 2 x) |
2 |
x |
(- 1 x) |
1 |
| Outputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
1/2 |
#s(literal 1/2 binary64) |
(log (+ 1 (/ (* 2 x) (- 1 x)))) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/ (* 2 x) (- 1 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 59.0ms | 193× | 1 | valid |
| 24.0ms | 54× | 5 | exit |
| 2.0ms | 9× | 0 | valid |
Compiled 37 to 10 computations (73% saved)
compiled-spec: 31.0ms (36.4% of total)ival-log: 24.0ms (28.2% of total)backward-pass: 10.0ms (11.8% of total)ival-mult: 8.0ms (9.4% of total)ival-div: 4.0ms (4.7% of total)ival-sub: 3.0ms (3.5% of total)ival-add: 3.0ms (3.5% of total)const: 1.0ms (1.2% of total)| Inputs |
|---|
#<alt (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))> |
#<alt (log (+ 1 (/ (* 2 x) (- 1 x))))> |
#<alt (/ (* 2 x) (- 1 x))> |
#<alt (* 2 x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))> |
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | -inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 0.0ms | x | @ | -inf | (* 2 x) |
| 0.0ms | x | @ | inf | (* 2 x) |
| 1× | batch-egg-rewrite |
| 4286× | accelerator-lowering-fma.f32 |
| 4286× | accelerator-lowering-fma.f64 |
| 3506× | *-lowering-*.f32 |
| 3506× | *-lowering-*.f64 |
| 2126× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 1 | 49 | 32 |
| 2 | 399 | 32 |
| 3 | 5586 | 32 |
| 0 | 8628 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
(log (+ 1 (/ (* 2 x) (- 1 x)))) |
(/ (* 2 x) (- 1 x)) |
(* 2 x) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(+.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) |
(+.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 0 binary64)) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (log1p.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))) |
(+.f64 (log.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))) (log1p.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (log1p.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))))) (log1p.f64 (*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) |
| 1× | egg-herbie |
| 12938× | accelerator-lowering-fma.f32 |
| 12938× | accelerator-lowering-fma.f64 |
| 3522× | *-lowering-*.f32 |
| 3522× | *-lowering-*.f64 |
| 2748× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 358 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
(* 1/2 (log -1)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/2 (log -1)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 2/5 binary64))))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x #s(literal 2/7 binary64)))))))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -2 binary64)) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
Compiled 5304 to 826 computations (84.4% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 205 | 5 | 210 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 205 | 6 | 211 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
| ▶ | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
| ▶ | 99.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64))))) |
| ▶ | 98.6% | x |
Compiled 137 to 97 computations (29.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 128 | (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
| 1772× | accelerator-lowering-fma.f32 |
| 1772× | accelerator-lowering-fma.f64 |
| 666× | *-lowering-*.f32 |
| 666× | *-lowering-*.f64 |
| 518× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 262 |
| 1 | 103 | 256 |
| 2 | 235 | 250 |
| 3 | 593 | 250 |
| 4 | 1005 | 250 |
| 5 | 1377 | 250 |
| 6 | 1423 | 250 |
| 7 | 1426 | 250 |
| 8 | 1426 | 250 |
| 9 | 1429 | 250 |
| 0 | 1429 | 223 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))) |
x |
(+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) |
1 |
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) |
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))) |
(+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) |
1/3 |
(* x (* x (+ 1/5 (* x (* x 1/7))))) |
(* x (+ 1/5 (* x (* x 1/7)))) |
(+ 1/5 (* x (* x 1/7))) |
1/5 |
(* x (* x 1/7)) |
(* x 1/7) |
1/7 |
x |
(* x (+ 1 (* x (* x 1/3)))) |
x |
(+ 1 (* x (* x 1/3))) |
1 |
(* x (* x 1/3)) |
(* x 1/3) |
1/3 |
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))) |
x |
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))) |
1 |
(* (* x x) (+ 1/3 (* (* x x) 1/5))) |
(* x x) |
(+ 1/3 (* (* x x) 1/5)) |
1/3 |
(* (* x x) 1/5) |
1/5 |
(* 1/2 (log (+ 1 (* (/ 1 (+ x -1)) (* x -2))))) |
1/2 |
(log (+ 1 (* (/ 1 (+ x -1)) (* x -2)))) |
(* (/ 1 (+ x -1)) (* x -2)) |
(/ 1 (+ x -1)) |
1 |
(+ x -1) |
x |
-1 |
(* x -2) |
-2 |
| Outputs |
|---|
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
x |
(+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) |
(+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) |
1/3 |
#s(literal 1/3 binary64) |
(* x (* x (+ 1/5 (* x (* x 1/7))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) |
(* x (+ 1/5 (* x (* x 1/7)))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) |
(+ 1/5 (* x (* x 1/7))) |
(+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))) |
1/5 |
#s(literal 1/5 binary64) |
(* x (* x 1/7)) |
(*.f64 x (*.f64 x #s(literal 1/7 binary64))) |
(* x 1/7) |
(*.f64 x #s(literal 1/7 binary64)) |
1/7 |
#s(literal 1/7 binary64) |
x |
(* x (+ 1 (* x (* x 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
x |
(+ 1 (* x (* x 1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x 1/3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* x 1/3) |
(*.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))))) |
x |
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/3 (* (* x x) 1/5))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* x x) |
(*.f64 x x) |
(+ 1/3 (* (* x x) 1/5)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))) |
1/3 |
#s(literal 1/3 binary64) |
(* (* x x) 1/5) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x x)) |
1/5 |
#s(literal 1/5 binary64) |
(* 1/2 (log (+ 1 (* (/ 1 (+ x -1)) (* x -2))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(log (+ 1 (* (/ 1 (+ x -1)) (* x -2)))) |
(log1p.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(* (/ 1 (+ x -1)) (* x -2)) |
(/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/ 1 (+ x -1)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64))))) |
| ✓ | accuracy | 100.0% | (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/7 binary64)) |
| 197.0ms | 193× | 1 | valid |
| 101.0ms | 54× | 5 | exit |
| 3.0ms | 9× | 0 | valid |
Compiled 260 to 35 computations (86.5% saved)
ival-mult: 74.0ms (32.3% of total)compiled-spec: 37.0ms (16.2% of total)backward-pass: 30.0ms (13.1% of total)ival-log: 29.0ms (12.7% of total)ival-add: 24.0ms (10.5% of total)...c/correct-round.rkt:119:19: 21.0ms (9.2% of total)ival-div: 12.0ms (5.2% of total)const: 2.0ms (0.9% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))> |
#<alt (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))> |
#<alt (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))> |
#<alt (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))> |
#<alt (* x (+ 1 (* x (* x 1/3))))> |
#<alt (+ 1 (* x (* x 1/3)))> |
#<alt (* x (* x 1/3))> |
#<alt (* x 1/3)> |
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))> |
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))> |
#<alt (* (* x x) (+ 1/3 (* (* x x) 1/5)))> |
#<alt (* x x)> |
#<alt (* 1/2 (log (+ 1 (* (/ 1 (+ x -1)) (* x -2)))))> |
#<alt (log (+ 1 (* (/ 1 (+ x -1)) (* x -2))))> |
#<alt (* (/ 1 (+ x -1)) (* x -2))> |
#<alt (/ 1 (+ x -1))> |
#<alt (* x 1/7)> |
#<alt (* x (+ 1/5 (* x (* x 1/7))))> |
#<alt (* x (* x (+ 1/5 (* x (* x 1/7)))))> |
#<alt (* (* x x) 1/5)> |
#<alt (+ 1/3 (* (* x x) 1/5))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* 1/7 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* 1/7 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))> |
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)> |
#<alt -1> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* x (- (* -1 x) 1)) 1)> |
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/5 x)> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* x (* x 1/3)))) |
| 0.0ms | x | @ | inf | (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) |
| 0.0ms | x | @ | -inf | (* x 1/3) |
| 1× | batch-egg-rewrite |
| 5210× | *-lowering-*.f32 |
| 5210× | *-lowering-*.f64 |
| 4512× | accelerator-lowering-fma.f32 |
| 4512× | accelerator-lowering-fma.f64 |
| 4166× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 213 |
| 1 | 204 | 201 |
| 2 | 1666 | 201 |
| 0 | 8180 | 177 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))) |
(+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) |
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) |
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))) |
(* x (+ 1 (* x (* x 1/3)))) |
(+ 1 (* x (* x 1/3))) |
(* x (* x 1/3)) |
(* x 1/3) |
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))) |
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))) |
(* (* x x) (+ 1/3 (* (* x x) 1/5))) |
(* x x) |
(* 1/2 (log (+ 1 (* (/ 1 (+ x -1)) (* x -2))))) |
(log (+ 1 (* (/ 1 (+ x -1)) (* x -2)))) |
(* (/ 1 (+ x -1)) (* x -2)) |
(/ 1 (+ x -1)) |
(* x 1/7) |
(* x (+ 1/5 (* x (* x 1/7)))) |
(* x (* x (+ 1/5 (* x (* x 1/7))))) |
(* (* x x) 1/5) |
(+ 1/3 (* (* x x) 1/5)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) (-.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) |
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) x) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) x #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x)))))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x))))) |
| 1× | egg-herbie |
| 10244× | accelerator-lowering-fma.f32 |
| 10244× | accelerator-lowering-fma.f64 |
| 5370× | *-lowering-*.f32 |
| 5370× | *-lowering-*.f64 |
| 2290× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 2139 |
| 1 | 630 | 2096 |
| 2 | 1619 | 2069 |
| 3 | 6810 | 2060 |
| 0 | 8515 | 1932 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* 1/7 (pow x 5)) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 5)) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* 1/3 (pow x 2))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/5 x) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) |
(* 1/7 (pow x 7)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/7 (pow x 7)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) |
(* 1/7 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(* 1/7 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
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(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(* 1/2 (log -1)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/5 binary64)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/5 binary64) (*.f64 (*.f64 x x) #s(literal 2/7 binary64)))))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 x (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal -2 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1 x) 1)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x)) x) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* 1/7 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* 1/7 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* 1/7 (pow x 4)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* 1/7 (pow x 4)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
Compiled 24588 to 2553 computations (89.6% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 793 | 1 | 794 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 796 | 4 | 800 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
| ✓ | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
| ✓ | 99.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | 98.6% | x |
Compiled 50 to 33 computations (34% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
| 316× | accelerator-lowering-fma.f32 |
| 316× | accelerator-lowering-fma.f64 |
| 232× | *-lowering-*.f32 |
| 232× | *-lowering-*.f64 |
| 146× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 58 |
| 1 | 27 | 58 |
| 2 | 81 | 54 |
| 3 | 162 | 54 |
| 4 | 192 | 54 |
| 5 | 213 | 54 |
| 6 | 213 | 54 |
| 7 | 283 | 54 |
| 8 | 283 | 54 |
| 0 | 283 | 49 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) x) |
(* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) |
(* x x) |
x |
(* x (+ 1/3 (* x (* x 1/5)))) |
(+ 1/3 (* x (* x 1/5))) |
1/3 |
(* x (* x 1/5)) |
(* x 1/5) |
1/5 |
| Outputs |
|---|
(+ (* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) x) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) #s(literal 1 binary64))) |
(* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ 1/3 (* x (* x 1/5)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(+ 1/3 (* x (* x 1/5))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* x (* x 1/5)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* x 1/5) |
(*.f64 x #s(literal 1/5 binary64)) |
1/5 |
#s(literal 1/5 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/5 binary64)) |
| 38.0ms | 256× | 0 | valid |
Compiled 60 to 11 computations (81.7% saved)
ival-mult: 9.0ms (35.6% of total)ival-add: 8.0ms (31.7% of total)...c/correct-round.rkt:119:19: 7.0ms (27.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) x)> |
#<alt (* (* x x) (* x (+ 1/3 (* x (* x 1/5)))))> |
#<alt (* x x)> |
#<alt (* x (+ 1/3 (* x (* x 1/5))))> |
#<alt (* x 1/5)> |
#<alt (* x (* x 1/5))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* 1/5 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) x) |
| 0.0ms | x | @ | -inf | (* x 1/5) |
| 0.0ms | x | @ | -inf | (+ (* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) x) |
| 0.0ms | x | @ | 0 | (* x 1/5) |
| 0.0ms | x | @ | 0 | (* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) |
| 1× | batch-egg-rewrite |
| 7076× | accelerator-lowering-fma.f32 |
| 7076× | accelerator-lowering-fma.f64 |
| 5464× | *-lowering-*.f32 |
| 5464× | *-lowering-*.f64 |
| 1728× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 1 | 55 | 44 |
| 2 | 439 | 44 |
| 3 | 4933 | 44 |
| 0 | 8400 | 40 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) x) |
(* (* x x) (* x (+ 1/3 (* x (* x 1/5))))) |
(* x x) |
(* x (+ 1/3 (* x (* x 1/5)))) |
(* x 1/5) |
(* x (* x 1/5)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(+.f64 (+.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) |
(+.f64 (+.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) x) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 x (exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (exp.f64 (log.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)))))) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x x) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/5 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) x) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) x (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) |
(fma.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x)))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)))))) x) |
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(/.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) #s(literal -1/27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))) |
(/.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25 binary64)))) #s(literal -1/9 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) #s(literal -1/27 binary64)) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64)))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25 binary64)))) #s(literal -1/9 binary64)) x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))))) (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64))))) #s(literal -1 binary64)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) x) |
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)))))) x)) |
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) (/.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))))))) |
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))) x)) |
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))) |
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)))) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25 binary64)))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(*.f64 x #s(literal 1/5 binary64)) |
(*.f64 #s(literal 1/5 binary64) x) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(*.f64 x (exp.f64 (log.f64 (*.f64 x #s(literal 1/5 binary64))))) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(*.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 1/5 binary64)))) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/5 binary64)) x) |
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/5 binary64)))) x) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/5 binary64))) (*.f64 x x)) |
| 1× | egg-herbie |
| 6136× | accelerator-lowering-fma.f32 |
| 6136× | accelerator-lowering-fma.f64 |
| 3658× | *-lowering-*.f32 |
| 3658× | *-lowering-*.f64 |
| 1868× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 472 |
| 1 | 126 | 458 |
| 2 | 289 | 458 |
| 3 | 697 | 458 |
| 4 | 1485 | 458 |
| 5 | 3034 | 458 |
| 6 | 6329 | 458 |
| 0 | 8203 | 425 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* 1/5 (pow x 3)) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 3)) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(* 1/5 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(* 1/5 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* 1/5 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* 1/5 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 x (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* 1/5 (pow x 3)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* 1/5 (pow x 3)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
Compiled 13379 to 845 computations (93.7% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 340 | 0 | 340 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 340 | 4 | 344 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
| ✓ | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
| ✓ | 99.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | 98.6% | x |
Compiled 134 to 79 computations (41% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
4 calls:
| 4.0ms | x |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 3.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 3.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 34× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 61 |
| 1 | 59 | 61 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
x |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) x) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
x |
| 12938× | accelerator-lowering-fma.f32 |
| 12938× | accelerator-lowering-fma.f64 |
| 5210× | *-lowering-*.f32 |
| 5210× | *-lowering-*.f64 |
| 4512× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 358 |
| 0 | 35 | 213 |
| 1 | 204 | 201 |
| 2 | 1666 | 201 |
| 0 | 8180 | 177 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 144 to 84 computations (41.7% saved)
Compiled 146 to 80 computations (45.2% saved)
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