Rust f32::atanh
Time bar (total: 13.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.8% | 0.4% | 0% | 49.8% | 0% | 3 |
| 50% | 24.9% | 24.9% | 0.4% | 0% | 49.8% | 0% | 4 |
| 75% | 37.4% | 12.5% | 0.4% | 0% | 49.8% | 0% | 5 |
| 87.5% | 43.6% | 6.2% | 0.4% | 0% | 49.8% | 0% | 6 |
| 93.8% | 46.7% | 3.1% | 0.4% | 0% | 49.8% | 0% | 7 |
| 96.9% | 48.2% | 1.6% | 0.4% | 0% | 49.8% | 0% | 8 |
| 98.4% | 49% | 0.8% | 0.4% | 0% | 49.8% | 0% | 9 |
| 99.2% | 49.4% | 0.4% | 0.4% | 0% | 49.8% | 0% | 10 |
| 99.6% | 49.4% | 0.2% | 0.4% | 0% | 50% | 0% | 11 |
| 99.8% | 49.5% | 0.1% | 0.4% | 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)| 314.0ms | 8256× | 0 | valid |
ival-atanh: 106.0ms (92.9% of total)const: 6.0ms (5.3% of total)backward-pass: 2.0ms (1.8% 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))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) 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 | - | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) x) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) x) |
| 0 | 0 | - | 0 | - | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 102.0ms | 326× | 1 | valid |
| 22.0ms | 186× | 0 | valid |
Compiled 85 to 29 computations (65.9% saved)
ival-mult: 43.0ms (37.6% of total)compiled-spec: 27.0ms (23.6% of total)ival-log: 16.0ms (14% of total)backward-pass: 8.0ms (7% of total)ival-div: 7.0ms (6.1% of total)ival-add: 6.0ms (5.2% of total)ival-sub: 5.0ms (4.4% of total)const: 2.0ms (1.7% of total)Compiled 11 to 9 computations (18.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| ✓ | cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) 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))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
1/2 |
#s(literal 1/2 binary32) |
(log (+ 1 (/ (* 2 x) (- 1 x)))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/ (* 2 x) (- 1 x)) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
2 |
#s(literal 2 binary32) |
x |
(- 1 x) |
(-.f32 #s(literal 1 binary32) x) |
1 |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 2 binary32) x) |
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | accuracy | 99.9% | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| ✓ | accuracy | 99.9% | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 40.0ms | 163× | 1 | valid |
| 10.0ms | 93× | 0 | valid |
Compiled 37 to 10 computations (73% saved)
compiled-spec: 14.0ms (30.6% of total)ival-mult: 9.0ms (19.6% of total)ival-log: 9.0ms (19.6% of total)backward-pass: 5.0ms (10.9% of total)ival-div: 3.0ms (6.5% of total)ival-add: 2.0ms (4.4% of total)ival-sub: 2.0ms (4.4% of total)const: 1.0ms (2.2% 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 | @ | -inf | (log (+ 1 (/ (* 2 x) (- 1 x)))) |
| 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) |
| 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 |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)))) |
(*.f32 (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x))) |
(log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x))) |
(neg.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x))))) |
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)))) #s(literal 1 binary32)))) |
(neg.f32 (log.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)) #s(literal -1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))))) |
(+.f32 #s(literal 0 binary32) (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x))))) |
(+.f32 (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x))) #s(literal 0 binary32)) |
(+.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)))) (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))) |
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)))))) |
(+.f32 (log.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)) #s(literal -1 binary32))))) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))))) (log1p.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (/.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))))) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))) (log.f32 (+.f32 (/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)) #s(literal -1 binary32)))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))))) (log1p.f32 (*.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))))) (log1p.f32 (neg.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))) |
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(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) |
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))) |
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) x)) x) |
(*.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) |
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) x)) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) |
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) |
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 x #s(literal -1 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 x #s(literal -1 binary32))) |
(neg.f32 (*.f32 x #s(literal -2 binary32))) |
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) |
(*.f32 (neg.f32 x) #s(literal -2 binary32)) |
(*.f32 #s(literal -1 binary32) (*.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal -2 binary32) (neg.f32 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)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x #s(literal 2/3 binary32))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x #s(literal 2/5 binary32))))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x #s(literal 2/7 binary32)))))))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))) (*.f32 x x)) #s(literal -2 binary32)) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 x))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32)))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 x #s(literal 1 binary32))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x x)))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
Compiled 5286 to 825 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 |
|---|---|---|
| ▶ | 99.2% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
| ▶ | 99.4% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| ▶ | 98.9% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
| ✓ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ▶ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) |
| ▶ | 97.7% | x |
Compiled 135 to 95 computations (29.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
| ✓ | cost-diff | 0 | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 x #s(literal 1/3 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
| ✓ | cost-diff | 0 | (neg.f32 x) |
| ✓ | cost-diff | 32 | (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) |
| ✓ | cost-diff | 32 | (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))) |
| ✓ | cost-diff | 32 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) |
| 36016× | accelerator-lowering-fma.f32 |
| 36016× | accelerator-lowering-fma.f64 |
| 3800× | +-lowering-+.f64 |
| 3800× | +-lowering-+.f32 |
| 2896× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 257 |
| 1 | 104 | 255 |
| 2 | 240 | 248 |
| 3 | 621 | 248 |
| 4 | 1072 | 248 |
| 5 | 1530 | 248 |
| 6 | 1905 | 248 |
| 7 | 2505 | 248 |
| 8 | 3253 | 248 |
| 9 | 4037 | 248 |
| 10 | 5349 | 248 |
| 11 | 6017 | 248 |
| 12 | 6964 | 248 |
| 13 | 7099 | 248 |
| 14 | 7107 | 248 |
| 15 | 7184 | 248 |
| 16 | 7189 | 248 |
| 17 | 7189 | 248 |
| 18 | 7189 | 248 |
| 0 | 8673 | 221 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log (+ 1 (* (neg x) (/ 2 (+ x -1)))))) |
1/2 |
(log (+ 1 (* (neg x) (/ 2 (+ x -1))))) |
(* (neg x) (/ 2 (+ x -1))) |
(neg x) |
x |
(/ 2 (+ x -1)) |
2 |
(+ x -1) |
-1 |
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 |
(* 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 |
| Outputs |
|---|
(* 1/2 (log (+ 1 (* (neg x) (/ 2 (+ x -1)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32))))) |
1/2 |
#s(literal 1/2 binary32) |
(log (+ 1 (* (neg x) (/ 2 (+ x -1))))) |
(log1p.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32)))) |
(* (neg x) (/ 2 (+ x -1))) |
(/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32))) |
(neg x) |
(neg.f32 x) |
x |
(/ 2 (+ x -1)) |
(/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) |
2 |
#s(literal 2 binary32) |
(+ x -1) |
(+.f32 x #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
x |
(* x (+ 1 (* x (* x 1/3)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
x |
(+ 1 (* x (* x 1/3))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
1 |
#s(literal 1 binary32) |
(* x (* x 1/3)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* x 1/3) |
(*.f32 x #s(literal 1/3 binary32)) |
1/3 |
#s(literal 1/3 binary32) |
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))) |
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -1/5 binary32)))))) |
x |
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -1/5 binary32))))) |
1 |
#s(literal 1 binary32) |
(* (* x x) (+ 1/3 (* (* x x) 1/5))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
(* x x) |
(*.f32 x x) |
(+ 1/3 (* (* x x) 1/5)) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
1/3 |
#s(literal 1/3 binary32) |
(* (* x x) 1/5) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
1/5 |
#s(literal 1/5 binary32) |
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))) |
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal -1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
x |
(+ 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal -1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) |
1 |
#s(literal 1 binary32) |
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) |
1/3 |
#s(literal 1/3 binary32) |
(* x (* x (+ 1/5 (* x (* x 1/7))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* x (+ 1/5 (* x (* x 1/7)))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(+ 1/5 (* x (* x 1/7))) |
(+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) |
1/5 |
#s(literal 1/5 binary32) |
(* x (* x 1/7)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* x 1/7) |
(*.f32 x #s(literal 1/7 binary32)) |
1/7 |
#s(literal 1/7 binary32) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
| ✓ | accuracy | 99.5% | (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
| ✓ | accuracy | 99.1% | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) |
| ✓ | accuracy | 98.3% | (*.f32 x #s(literal 1/7 binary32)) |
| ✓ | accuracy | 99.9% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
| ✓ | accuracy | 99.9% | (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
| ✓ | accuracy | 99.9% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 x #s(literal 1/3 binary32)) |
| ✓ | accuracy | 100.0% | (neg.f32 x) |
| ✓ | accuracy | 99.9% | (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))) |
| ✓ | accuracy | 99.9% | (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) |
| ✓ | accuracy | 99.9% | (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) |
| 225.0ms | 163× | 1 | valid |
| 64.0ms | 93× | 0 | valid |
Compiled 255 to 35 computations (86.3% saved)
ival-mult: 76.0ms (37.1% of total)...c/correct-round.rkt:119:19: 56.0ms (27.3% of total)ival-add: 28.0ms (13.7% of total)backward-pass: 15.0ms (7.3% of total)compiled-spec: 14.0ms (6.8% of total)ival-log: 8.0ms (3.9% of total)ival-div: 4.0ms (2% of total)ival-neg: 3.0ms (1.5% of total)const: 1.0ms (0.5% of total)| Inputs |
|---|
#<alt (* 1/2 (log (+ 1 (* (neg x) (/ 2 (+ x -1))))))> |
#<alt (log (+ 1 (* (neg x) (/ 2 (+ x -1)))))> |
#<alt (* (neg x) (/ 2 (+ x -1)))> |
#<alt (neg x)> |
#<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 (* 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 (/ 2 (+ x -1))> |
#<alt (* (* x x) 1/5)> |
#<alt (+ 1/3 (* (* x x) 1/5))> |
#<alt (* x 1/7)> |
#<alt (* x (+ 1/5 (* x (* x 1/7))))> |
#<alt (* x (* x 1/7))> |
| 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 (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt 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 (* 1/7 (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 -2> |
#<alt (- (* -2 x) 2)> |
#<alt (- (* x (- (* -2 x) 2)) 2)> |
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) 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))> |
#<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)))))> |
#<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 (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | (* x 1/3) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* x (* x 1/3)))) |
| 0.0ms | x | @ | 0 | (* x (+ 1 (* x (* x 1/3)))) |
| 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 (* (* x x) 1/5))))) |
| 1× | batch-egg-rewrite |
| 5264× | accelerator-lowering-fma.f32 |
| 5264× | accelerator-lowering-fma.f64 |
| 4176× | /-lowering-/.f32 |
| 4176× | /-lowering-/.f64 |
| 3600× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 206 |
| 1 | 205 | 198 |
| 2 | 1696 | 197 |
| 0 | 8508 | 174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log (+ 1 (* (neg x) (/ 2 (+ x -1)))))) |
(log (+ 1 (* (neg x) (/ 2 (+ x -1))))) |
(* (neg x) (/ 2 (+ x -1))) |
(neg x) |
(* 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) |
(* 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))))))) |
(/ 2 (+ x -1)) |
(* (* x x) 1/5) |
(+ 1/3 (* (* x x) 1/5)) |
(* x 1/7) |
(* x (+ 1/5 (* x (* x 1/7)))) |
(* x (* x 1/7)) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)) |
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))))))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) (neg.f32 (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))))) |
(+.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))) |
(+.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (neg.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))) |
(-.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))))) |
(-.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))) |
(-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 8 binary32) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))))) (log.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))) |
(-.f32 (log.f32 (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32))) (log.f32 (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))))))) (+.f32 (*.f32 (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))))) (*.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))))) (+.f32 (*.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))))))) (*.f32 (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))))) (+.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))))) (*.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) (+.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) |
(neg.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(+.f32 #s(literal 0 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)) (neg.f32 x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (neg.f32 x) #s(literal -2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -2 binary32) (neg.f32 x)))) |
(/.f32 x (-.f32 #s(literal 0 binary32) (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 x) (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) |
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))) (*.f32 #s(literal 0 binary32) (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x #s(literal 2 binary32))) (+.f32 x #s(literal -1 binary32))) |
(/.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 0 binary32) (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))) |
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (neg.f32 x) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 #s(literal -2 binary32) (neg.f32 x)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 x) #s(literal -2 binary32))) (+.f32 x #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) (neg.f32 x))) (+.f32 x #s(literal -1 binary32))) |
(*.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))) (neg.f32 x))) |
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 x #s(literal -1 binary32)))) |
(*.f32 #s(literal -1 binary32) (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(*.f32 (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (neg.f32 x)) |
(*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))) (/.f32 (neg.f32 x) #s(literal 1/2 binary32))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 x #s(literal 1/2 binary32))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal -1 binary32)) x) |
(*.f32 (*.f32 (neg.f32 x) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (*.f32 #s(literal -2 binary32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) x)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) x)))) |
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(/.f32 (*.f32 (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32))) x) (-.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/125 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32))) (*.f32 x (*.f32 x x))))) (neg.f32 (+.f32 (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))) (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))))) (neg.f32 (-.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))))) |
(/.f32 (neg.f32 (*.f32 x (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)))))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x #s(literal 1/7 binary32))) (+.f32 (*.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal -1/5 binary32)))))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)))) x)) (neg.f32 (+.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x #s(literal 1/7 binary32))) (+.f32 (*.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal -1/5 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32))) x)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) |
(/.f32 (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32))) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 1/125 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))) (-.f32 (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))) (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32)))) (-.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32)))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) x) |
(*.f32 (+.f32 (*.f32 #s(literal 1/125 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32))) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))) (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))))))) |
(*.f32 (-.f32 (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32))))) |
(*.f32 (*.f32 x (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x #s(literal 1/7 binary32))) (+.f32 (*.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal -1/5 binary32)))))) |
(*.f32 (*.f32 x (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)))) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x #s(literal 1/7 binary32))) (+.f32 (*.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal -1/5 binary32)))))) |
(*.f32 (*.f32 (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32))) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x x)) |
(*.f32 (*.f32 x #s(literal 1/7 binary32)) x) |
| 1× | egg-herbie |
| 10516× | accelerator-lowering-fma.f32 |
| 10516× | accelerator-lowering-fma.f64 |
| 5358× | *-lowering-*.f32 |
| 5358× | *-lowering-*.f64 |
| 1834× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 2112 |
| 1 | 606 | 2064 |
| 2 | 1556 | 2044 |
| 3 | 6550 | 2032 |
| 0 | 8306 | 1910 |
| 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) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
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)))))))) |
(* 1/7 (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))) |
-2 |
(- (* -2 x) 2) |
(- (* x (- (* -2 x) 2)) 2) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) 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)) |
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))))) |
(* 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))))) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
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(+ 1 (* 1/3 (pow x 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
(* 1/7 (pow x 6)) |
(*.f32 x (*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 1 binary32)) |
(* 1/7 (pow x 6)) |
(*.f32 x (*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 1 binary32)) |
(* 1/3 (pow x 2)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x x)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) |
(* 1/7 (pow x 6)) |
(*.f32 x (*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* 1/7 (pow x 6)) |
(*.f32 x (*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(* 1/7 (pow x 5)) |
(*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* 1/7 (pow x 5)) |
(*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/7 binary32) (/.f32 (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/7 binary32) (/.f32 (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) x))) |
-2 |
#s(literal -2 binary32) |
(- (* -2 x) 2) |
(+.f32 #s(literal -2 binary32) (*.f32 x #s(literal -2 binary32))) |
(- (* x (- (* -2 x) 2)) 2) |
(+.f32 #s(literal -2 binary32) (*.f32 x (+.f32 #s(literal -2 binary32) (*.f32 x #s(literal -2 binary32))))) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2) |
(+.f32 #s(literal -2 binary32) (*.f32 x (+.f32 #s(literal -2 binary32) (*.f32 x (+.f32 #s(literal -2 binary32) (*.f32 x #s(literal -2 binary32))))))) |
(/ 2 x) |
(/.f32 #s(literal 2 binary32) x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x) |
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x) |
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))))) x) |
(/ 2 x) |
(/.f32 #s(literal 2 binary32) x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) |
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x)) |
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x)) x) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* 1/7 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* 1/7 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* 1/7 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
Compiled 28614 to 2699 computations (90.6% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 897 | 11 | 908 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 899 | 15 | 914 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) | |
| ▶ | 99.4% | (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| 99.2% | (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))) | |
| 98.9% | (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) | |
| 99.0% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) x))) | |
| 98.9% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) x))) | |
| ▶ | 99.3% | (+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
| ▶ | 98.9% | (+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
| ✓ | 99.4% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| ✓ | 98.9% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
| ▶ | 99.4% | (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
| ▶ | 99.8% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
| 21.4% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))))) | |
| ✓ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 97.7% | x |
Compiled 861 to 358 computations (58.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| ✓ | cost-diff | 64 | (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| ✓ | cost-diff | 64 | (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
| ✓ | cost-diff | 64 | (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| ✓ | cost-diff | 0 | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
| ✓ | cost-diff | 64 | (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))) |
| ✓ | cost-diff | 64 | (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) |
| ✓ | cost-diff | 64 | (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))) |
| ✓ | cost-diff | 64 | (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
| 7670× | accelerator-lowering-fma.f32 |
| 7670× | accelerator-lowering-fma.f64 |
| 3804× | *-lowering-*.f32 |
| 3804× | *-lowering-*.f64 |
| 2398× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 714 |
| 1 | 134 | 708 |
| 2 | 424 | 678 |
| 3 | 1708 | 670 |
| 4 | 3734 | 670 |
| 5 | 6544 | 670 |
| 0 | 8106 | 582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
1/2 |
(- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2))))) |
(log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) |
(/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))) |
(/ x (/ (+ x -1) 2)) |
x |
(/ (+ x -1) 2) |
(+ x -1) |
-1 |
2 |
(/ (- 1 x) (* x 2)) |
(- 1 x) |
1 |
(* x 2) |
(log (+ 1 (/ x (/ (+ x -1) 2)))) |
(+ (* x (* 1/3 (* x x))) x) |
(* x (* 1/3 (* x x))) |
x |
(* 1/3 (* x x)) |
1/3 |
(* x x) |
(+ (* 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 (+ 1/3 (* (* x x) 1/5))) |
(+ 1/3 (* (* x x) 1/5)) |
1/3 |
(* (* x x) 1/5) |
(* x x) |
1/5 |
(/ x (/ 1 (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) |
x |
(/ 1 (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
1 |
(+ 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)))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
1/3 |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(* x x) |
(+ 1/5 (* x (* x 1/7))) |
1/5 |
(* x (* x 1/7)) |
(* x 1/7) |
1/7 |
(* x (* (- 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)))))))))) (/ 1 (- 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)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) (/ 1 (- 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)))))))))) |
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 (* 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 x) |
(+ 1/5 (* x (* x 1/7))) |
1/5 |
(* x (* x 1/7)) |
(* x 1/7) |
1/7 |
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(/ 1 (- 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)))))))) |
| Outputs |
|---|
(* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32)))) (log1p.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))))) |
1/2 |
#s(literal 1/2 binary32) |
(- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2))))) |
(-.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32)))) (log1p.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))))) |
(log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) |
(log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32)))) |
(/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32))) |
(/ x (/ (+ x -1) 2)) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) |
x |
(/ (+ x -1) 2) |
(+.f32 (/.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
(+ x -1) |
(+.f32 x #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
2 |
#s(literal 2 binary32) |
(/ (- 1 x) (* x 2)) |
(+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32)) |
(- 1 x) |
(-.f32 #s(literal 1 binary32) x) |
1 |
#s(literal 1 binary32) |
(* x 2) |
(*.f32 x #s(literal 2 binary32)) |
(log (+ 1 (/ x (/ (+ x -1) 2)))) |
(log1p.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) |
(+ (* x (* 1/3 (* x x))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (* 1/3 (* x x))) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
x |
(* 1/3 (* x x)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
1/3 |
#s(literal 1/3 binary32) |
(* x x) |
(*.f32 x x) |
(+ (* x (* x (* x (+ 1/3 (* (* x x) 1/5))))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))))) |
(* x (* x (* x (+ 1/3 (* (* x x) 1/5))))) |
(*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
x |
(* x (* x (+ 1/3 (* (* x x) 1/5)))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
(* x (+ 1/3 (* (* x x) 1/5))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
(+ 1/3 (* (* x x) 1/5)) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
1/3 |
#s(literal 1/3 binary32) |
(* (* x x) 1/5) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* x x) |
(*.f32 x x) |
1/5 |
#s(literal 1/5 binary32) |
(/ x (/ 1 (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
x |
(/ 1 (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) |
1/3 |
#s(literal 1/3 binary32) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* x x) |
(*.f32 x x) |
(+ 1/5 (* x (* x 1/7))) |
(+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) |
1/5 |
#s(literal 1/5 binary32) |
(* x (* x 1/7)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* x 1/7) |
(*.f32 x #s(literal 1/7 binary32)) |
1/7 |
#s(literal 1/7 binary32) |
(* x (* (- 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)))))))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/5 binary32) (*.f32 (*.f32 x x) #s(literal -1/7 binary32)))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/5 binary32) (*.f32 (*.f32 x x) #s(literal -1/7 binary32))))))))) |
x |
(* (- 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)))))))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/5 binary32) (*.f32 (*.f32 x x) #s(literal -1/7 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/5 binary32) (*.f32 (*.f32 x x) #s(literal -1/7 binary32))))))))) |
(- 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)))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/5 binary32) (*.f32 (*.f32 x x) #s(literal -1/7 binary32))))))))) |
1 |
#s(literal 1 binary32) |
(* x (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
(* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) |
1/3 |
#s(literal 1/3 binary32) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* x x) |
(*.f32 x x) |
(+ 1/5 (* x (* x 1/7))) |
(+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) |
1/5 |
#s(literal 1/5 binary32) |
(* x (* x 1/7)) |
(*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
(* x 1/7) |
(*.f32 x #s(literal 1/7 binary32)) |
1/7 |
#s(literal 1/7 binary32) |
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) |
(/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/5 binary32) (*.f32 (*.f32 x x) #s(literal -1/7 binary32))))))))) |
(- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/5 binary32) (*.f32 (*.f32 x x) #s(literal -1/7 binary32)))))))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
| ✓ | accuracy | 99.3% | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
| ✓ | accuracy | 98.6% | (*.f32 x #s(literal 1/7 binary32)) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x #s(literal 1/7 binary32))) |
| ✓ | accuracy | 99.3% | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
| ✓ | accuracy | 98.6% | (*.f32 x #s(literal 1/7 binary32)) |
| ✓ | accuracy | 99.8% | (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
| ✓ | accuracy | 99.3% | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
| ✓ | accuracy | 100.0% | (+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
| ✓ | accuracy | 100.0% | (*.f32 x x) |
| ✓ | accuracy | 99.8% | (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) |
| ✓ | accuracy | 99.6% | (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) |
| ✓ | accuracy | 99.9% | (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))) |
| ✓ | accuracy | 99.8% | (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) |
| ✓ | accuracy | 99.8% | (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
| ✓ | accuracy | 99.7% | (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))) |
| 247.0ms | 162× | 1 | valid |
| 106.0ms | 47× | 5 | exit |
| 24.0ms | 47× | 0 | valid |
Compiled 704 to 47 computations (93.3% saved)
backward-pass: 65.0ms (24.8% of total)ival-mult: 64.0ms (24.4% of total)compiled-spec: 32.0ms (12.2% of total)ival-div: 24.0ms (9.2% of total)...c/correct-round.rkt:119:19: 22.0ms (8.4% of total)ival-add: 22.0ms (8.4% of total)ival-log: 20.0ms (7.6% of total)ival-sub: 12.0ms (4.6% of total)const: 2.0ms (0.8% of total)| Inputs |
|---|
#<alt (* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2))))))> |
#<alt (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))> |
#<alt (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2)))))> |
#<alt (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2)))> |
#<alt (+ (* x (* 1/3 (* x x))) x)> |
#<alt (* x (* 1/3 (* x x)))> |
#<alt (* 1/3 (* x x))> |
#<alt (* x x)> |
#<alt (+ (* x (* x (* x (+ 1/3 (* (* x x) 1/5))))) x)> |
#<alt (* x (* x (* x (+ 1/3 (* (* x x) 1/5)))))> |
#<alt (* x (* x (+ 1/3 (* (* x x) 1/5))))> |
#<alt (* x (+ 1/3 (* (* x x) 1/5)))> |
#<alt (/ x (/ 1 (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))> |
#<alt (/ 1 (+ 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 (* x (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) (/ 1 (- 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)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) (/ 1 (- 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)))))) (* 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)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))> |
#<alt (log (+ 1 (/ x (/ (+ x -1) 2))))> |
#<alt (/ (- 1 x) (* x 2))> |
#<alt (* (* x x) 1/5)> |
#<alt (* x 1/7)> |
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))> |
#<alt (* x (* x 1/7))> |
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))> |
#<alt (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))> |
| 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 -3) (log 3)))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (- (log -3) (log 3)))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 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 -3) (log 3))))> |
#<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 -3) (log 3))> |
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))> |
#<alt (- (log -3) (log 3))> |
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))> |
#<alt (- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -8 x) 4))> |
#<alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4))> |
#<alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))> |
#<alt (log -3)> |
#<alt (+ (log -3) (* 8/3 (/ 1 x)))> |
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))> |
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))> |
#<alt (log -3)> |
#<alt (+ (log -3) (* 8/3 (/ 1 x)))> |
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))> |
#<alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -8 x) 4))> |
#<alt (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))> |
#<alt (* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))> |
#<alt -4> |
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)> |
#<alt (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))> |
#<alt -4> |
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)> |
#<alt (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)> |
#<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 (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<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 (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 (* 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 (* 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 (* 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 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) (- (* -4/45 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))> |
#<alt (/ 7 (pow x 6))> |
#<alt (/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ 7 (pow x 6))> |
#<alt (/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 6))> |
#<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 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> |
#<alt (+ 1 (* -1/9 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))> |
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))> |
#<alt (* -1/49 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))> |
#<alt (* -1/49 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))> |
#<alt (* 1/9 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))> |
#<alt (* 1/49 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))> |
#<alt (* 1/49 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))> |
#<alt (* -2 x)> |
#<alt (* x (- (* -4 x) 2))> |
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))> |
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))> |
#<alt (log 3)> |
#<alt (+ (log 3) (* 2/3 (/ 1 x)))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))> |
#<alt (log 3)> |
#<alt (+ (log 3) (* 2/3 (/ 1 x)))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))> |
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* -1/2 x)) x)> |
#<alt (/ (+ 1/2 (* -1/2 x)) x)> |
#<alt (/ (+ 1/2 (* -1/2 x)) x)> |
#<alt -1/2> |
#<alt (- (* 1/2 (/ 1 x)) 1/2)> |
#<alt (- (* 1/2 (/ 1 x)) 1/2)> |
#<alt (- (* 1/2 (/ 1 x)) 1/2)> |
#<alt -1/2> |
#<alt (- (* 1/2 (/ 1 x)) 1/2)> |
#<alt (- (* 1/2 (/ 1 x)) 1/2)> |
#<alt (- (* 1/2 (/ 1 x)) 1/2)> |
#<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 (* 1/7 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 (* 1/3 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 (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (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 (* 1/9 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))> |
#<alt (* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))> |
#<alt (* 1/49 (pow x 11))> |
#<alt (* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))> |
#<alt (* 1/49 (pow x 11))> |
#<alt (* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))> |
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
| 1.0ms | x | @ | inf | (* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
| 1.0ms | x | @ | -inf | (* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
| 1.0ms | x | @ | 0 | (* x (* (- 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)))))))))) (/ 1 (- 1 (* 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)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))) |
| 1× | batch-egg-rewrite |
| 6588× | *-lowering-*.f32 |
| 6588× | *-lowering-*.f64 |
| 4574× | accelerator-lowering-fma.f32 |
| 4574× | accelerator-lowering-fma.f64 |
| 3518× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 446 |
| 1 | 324 | 355 |
| 2 | 2941 | 341 |
| 0 | 9052 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
(- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) (log (+ 1 (/ x (/ (+ x -1) 2))))) |
(log (+ 1 (/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))))) |
(/ (/ x (/ (+ x -1) 2)) (/ (- 1 x) (* x 2))) |
(+ (* x (* 1/3 (* x x))) x) |
(* x (* 1/3 (* x x))) |
(* 1/3 (* x x)) |
(* x x) |
(+ (* x (* x (* x (+ 1/3 (* (* x x) 1/5))))) x) |
(* x (* x (* x (+ 1/3 (* (* x x) 1/5))))) |
(* x (* x (+ 1/3 (* (* x x) 1/5)))) |
(* x (+ 1/3 (* (* x x) 1/5))) |
(/ x (/ 1 (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) |
(/ 1 (+ 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 (* x (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) (/ 1 (- 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)))))))))) (/ 1 (- 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 (* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(log (+ 1 (/ x (/ (+ x -1) 2)))) |
(/ (- 1 x) (* x 2)) |
(* (* x x) 1/5) |
(* x 1/7) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(* x (* x 1/7)) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(* (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
| Outputs |
|---|
(+.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))))) |
(+.f32 (*.f32 (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (*.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))))) |
(fma.f32 (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))) #s(literal 1/2 binary32))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))))))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))))) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))))))) |
(/.f32 (*.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))))) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32))))))) |
(+.f32 (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (neg.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))))) |
(+.f32 (neg.f32 (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (*.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))))) #s(literal 1/8 binary32))))) (log1p.f32 (/.f32 (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x #s(literal 2 binary32)))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 x #s(literal -1 binary32))) #s(literal 4 binary32)))))) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)))) |
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(/.f32 (-.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) |
(/.f32 (*.f32 (*.f32 x x) (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)))) (-.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(/.f32 (*.f32 (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)))) (*.f32 x x)) (+.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32))) (*.f32 x x)) (-.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x x)) |
(*.f32 (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) x) |
(+.f32 (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (*.f32 x #s(literal 1/3 binary32))) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(+.f32 (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) (*.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))) |
(fma.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (*.f32 x #s(literal 1/3 binary32)) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(fma.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (*.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))) |
(*.f32 x (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))) |
(*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))) |
(*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
(*.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 x x)) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
| 1× | egg-herbie |
| 9736× | accelerator-lowering-fma.f32 |
| 9736× | accelerator-lowering-fma.f64 |
| 4656× | *-lowering-*.f32 |
| 4656× | *-lowering-*.f64 |
| 4398× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 3270 |
| 1 | 1113 | 3218 |
| 2 | 2844 | 3175 |
| 3 | 6389 | 3168 |
| 0 | 8200 | 3035 |
| 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 -3) (log 3))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (- (log -3) (log 3))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 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 -3) (log 3)))) |
(* 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 -3) (log 3)) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3)) |
(- (log -3) (log 3)) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4)) |
-4 |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))) |
-4 |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4) |
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)))) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 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)) |
(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 (* 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))))) |
(* 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))))) |
(* 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))))) |
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) (- (* -4/45 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) |
(/ 7 (pow x 6)) |
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6)) |
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 6)) |
(/ 7 (pow x 6)) |
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6)) |
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 6)) |
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)))))) |
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 |
(+ 1 (* -1/9 (pow x 4))) |
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))) |
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))) |
(* -1/49 (pow x 12)) |
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)) |
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))) |
(* -1/49 (pow x 12)) |
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)) |
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))) |
(* 1/9 (pow x 4)) |
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) |
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) |
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2)))))))) |
(* 1/49 (pow x 12)) |
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))) |
(* 1/49 (pow x 12)) |
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))) |
(* -2 x) |
(* x (- (* -4 x) 2)) |
(* x (- (* x (- (* -26/3 x) 4)) 2)) |
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2)) |
(log 3) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3)))))) |
(log 3) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/2 x)) x) |
(/ (+ 1/2 (* -1/2 x)) x) |
(/ (+ 1/2 (* -1/2 x)) x) |
-1/2 |
(- (* 1/2 (/ 1 x)) 1/2) |
(- (* 1/2 (/ 1 x)) 1/2) |
(- (* 1/2 (/ 1 x)) 1/2) |
-1/2 |
(- (* 1/2 (/ 1 x)) 1/2) |
(- (* 1/2 (/ 1 x)) 1/2) |
(- (* 1/2 (/ 1 x)) 1/2) |
(* 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)) |
(* 1/7 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) |
(* 1/3 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))) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (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))))) |
(* 1/9 (pow x 3)) |
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2)))) |
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) |
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2)))))))) |
(* 1/49 (pow x 11)) |
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) |
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))) |
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))) |
(* 1/49 (pow x 11)) |
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))) |
(* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(* 1/2 (- (log -3) (log 3))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))))) |
(* 1/2 (- (log -3) (log 3))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3)))) |
(-.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) #s(literal 2/3 binary32)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32)))))))) |
(- (log -3) (log 3)) |
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3)) |
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32)))))) |
(- (log -3) (log 3)) |
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3)) |
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* -4 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal -4 binary32))) |
(* (pow x 2) (- (* -8 x) 4)) |
(*.f32 (*.f32 (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32))) x) x) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4 binary32) (*.f32 x (+.f32 #s(literal -8 binary32) (*.f32 x #s(literal -20 binary32)))))) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4 binary32) (*.f32 x (+.f32 #s(literal -8 binary32) (*.f32 x (+.f32 #s(literal -20 binary32) (*.f32 x #s(literal -48 binary32)))))))) |
(log -3) |
(log.f32 #s(literal -3 binary32)) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal 8/3 binary32) x)) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (+.f32 (/.f32 #s(literal 4/9 binary32) (*.f32 x x)) (/.f32 #s(literal 80/81 binary32) (*.f32 x (*.f32 x x)))))) |
(log -3) |
(log.f32 #s(literal -3 binary32)) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal 8/3 binary32) x)) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (+.f32 #s(literal 8/3 binary32) (/.f32 (+.f32 #s(literal 4/9 binary32) (/.f32 #s(literal 80/81 binary32) x)) x)) x)) |
(* -4 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal -4 binary32))) |
(* (pow x 2) (- (* -8 x) 4)) |
(*.f32 (*.f32 (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32))) x) x) |
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4)) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4 binary32) (*.f32 x (+.f32 #s(literal -8 binary32) (*.f32 x #s(literal -12 binary32)))))) |
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4)) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4 binary32) (*.f32 x (+.f32 #s(literal -8 binary32) (*.f32 x (+.f32 #s(literal -12 binary32) (*.f32 x #s(literal -16 binary32)))))))) |
-4 |
#s(literal -4 binary32) |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(+.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal -8 binary32) (/.f32 #s(literal -12 binary32) x)) x)) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))) |
(+.f32 (/.f32 (-.f32 #s(literal -12 binary32) (/.f32 #s(literal 16 binary32) x)) (*.f32 x x)) (+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x))) |
-4 |
#s(literal -4 binary32) |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(+.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal -8 binary32) (/.f32 #s(literal -12 binary32) x)) x)) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4) |
(-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 12 binary32) x) (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 16 binary32) (*.f32 x x)))) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(* 1/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
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(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* 1/9 (pow x 3)) |
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/9 binary32)) |
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2)))) |
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))) |
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) |
(*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 2/15 binary32) (*.f32 (*.f32 x x) #s(literal 71/525 binary32))))))) |
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2)))))))) |
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 2/15 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 x x) #s(literal 2/35 binary32))))))))) |
(* 1/49 (pow x 11)) |
(*.f32 #s(literal 1/49 binary32) (pow.f32 x #s(literal 11 binary32))) |
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (*.f32 x x))) (pow.f32 x #s(literal 11 binary32))) |
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 #s(literal 1/49 binary32) (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 11 binary32))) |
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32)))))) (pow.f32 x #s(literal 11 binary32))) |
(* 1/49 (pow x 11)) |
(*.f32 #s(literal 1/49 binary32) (pow.f32 x #s(literal 11 binary32))) |
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (*.f32 x x))) (pow.f32 x #s(literal 11 binary32))) |
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))) |
(*.f32 (pow.f32 x #s(literal 11 binary32)) (+.f32 #s(literal 1/49 binary32) (/.f32 (+.f32 #s(literal 2/35 binary32) (/.f32 #s(literal 71/525 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))) |
(*.f32 (pow.f32 x #s(literal 11 binary32)) (+.f32 (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 71/525 binary32) (/.f32 #s(literal 2/15 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))))) |
Compiled 74855 to 4445 computations (94.1% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1550 | 5 | 1555 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 2 | 4 |
| Total | 1559 | 11 | 1570 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
| ▶ | 99.3% | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
| ▶ | 99.0% | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
| 99.0% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) x))) | |
| ✓ | 99.3% | (+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
| ✓ | 98.9% | (+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
| ▶ | 99.5% | (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
| ▶ | 99.8% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
| 21.4% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))))) | |
| ✓ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 97.7% | x |
Compiled 427 to 228 computations (46.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))) |
| ✓ | cost-diff | 64 | (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| ✓ | cost-diff | 64 | (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32))))))) |
| ✓ | cost-diff | 0 | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32))))) |
| ✓ | cost-diff | 0 | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) |
| ✓ | cost-diff | 0 | (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) |
| ✓ | cost-diff | 0 | (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
| 8810× | accelerator-lowering-fma.f32 |
| 8810× | accelerator-lowering-fma.f64 |
| 4622× | *-lowering-*.f32 |
| 4622× | *-lowering-*.f64 |
| 1868× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 561 |
| 1 | 166 | 547 |
| 2 | 535 | 537 |
| 3 | 1557 | 535 |
| 4 | 3331 | 535 |
| 5 | 5573 | 535 |
| 0 | 8185 | 475 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
1/2 |
(- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2))))) |
(log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) |
(/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))) |
(/ x (/ (+ x -1) 2)) |
x |
(/ (+ x -1) 2) |
(+ x -1) |
-1 |
2 |
(+ -1/2 (/ 1/2 x)) |
-1/2 |
(/ 1/2 x) |
(log (+ 1 (/ x (/ (+ x -1) 2)))) |
(/ x (+ 1 (* (* x x) -1/3))) |
x |
(+ 1 (* (* x x) -1/3)) |
1 |
(* (* x x) -1/3) |
(* x x) |
-1/3 |
(/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45)))) |
1 |
(* (* x x) (+ -1/3 (* (* x x) -4/45))) |
(* x x) |
(+ -1/3 (* (* x x) -4/45)) |
-1/3 |
(* (* x x) -4/45) |
-4/45 |
(/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) |
1 |
(* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))) |
(* x x) |
(+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))) |
-1/3 |
(* (* x x) (+ -4/45 (* (* x x) -44/945))) |
(+ -4/45 (* (* x x) -44/945)) |
-4/45 |
(* (* x x) -44/945) |
-44/945 |
(* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))) |
x |
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) |
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) |
1 |
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))) |
(* (* x x) (* x x)) |
(* x x) |
(+ 1/9 (* (* x x) 2/15)) |
1/9 |
(* (* x x) 2/15) |
2/15 |
(/ 1 (- 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)))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
1/3 |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(+ 1/5 (* x (* x 1/7))) |
1/5 |
(* x (* x 1/7)) |
(* x 1/7) |
1/7 |
| Outputs |
|---|
(* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
1/2 |
#s(literal 1/2 binary32) |
(- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2))))) |
(-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))) |
(log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) |
(log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) |
(/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))) |
(/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) |
(/ x (/ (+ x -1) 2)) |
(/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) |
x |
(/ (+ x -1) 2) |
(/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)) |
(+ x -1) |
(+.f32 x #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
2 |
#s(literal 2 binary32) |
(+ -1/2 (/ 1/2 x)) |
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) |
-1/2 |
#s(literal -1/2 binary32) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(log (+ 1 (/ x (/ (+ x -1) 2)))) |
(log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(/ x (+ 1 (* (* x x) -1/3))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
x |
(+ 1 (* (* x x) -1/3)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
1 |
#s(literal 1 binary32) |
(* (* x x) -1/3) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* x x) |
(*.f32 x x) |
-1/3 |
#s(literal -1/3 binary32) |
(/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45)))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
1 |
#s(literal 1 binary32) |
(* (* x x) (+ -1/3 (* (* x x) -4/45))) |
(*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32))))) |
(* x x) |
(*.f32 x x) |
(+ -1/3 (* (* x x) -4/45)) |
(+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32))) |
-1/3 |
#s(literal -1/3 binary32) |
(* (* x x) -4/45) |
(*.f32 (*.f32 x x) #s(literal -4/45 binary32)) |
-4/45 |
#s(literal -4/45 binary32) |
(/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))) |
1 |
#s(literal 1 binary32) |
(* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))) |
(* x x) |
(*.f32 x x) |
(+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))) |
(+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))) |
-1/3 |
#s(literal -1/3 binary32) |
(* (* x x) (+ -4/45 (* (* x x) -44/945))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))) |
(+ -4/45 (* (* x x) -44/945)) |
(+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) |
-4/45 |
#s(literal -4/45 binary32) |
(* (* x x) -44/945) |
(*.f32 x (*.f32 x #s(literal -44/945 binary32))) |
-44/945 |
#s(literal -44/945 binary32) |
(* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) #s(literal -2/15 binary32)) #s(literal -1/9 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
x |
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) #s(literal -2/15 binary32)) #s(literal -1/9 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 (*.f32 x x) #s(literal -2/15 binary32)) #s(literal -1/9 binary32)))) |
1 |
#s(literal 1 binary32) |
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))) |
(* (* x x) (* x x)) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(* x x) |
(*.f32 x x) |
(+ 1/9 (* (* x x) 2/15)) |
(+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))) |
1/9 |
#s(literal 1/9 binary32) |
(* (* x x) 2/15) |
(*.f32 (*.f32 x x) #s(literal 2/15 binary32)) |
2/15 |
#s(literal 2/15 binary32) |
(/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (-.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
1/3 |
#s(literal 1/3 binary32) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
(+ 1/5 (* x (* x 1/7))) |
(+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) |
1/5 |
#s(literal 1/5 binary32) |
(* x (* x 1/7)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* x 1/7) |
(*.f32 x #s(literal 1/7 binary32)) |
1/7 |
#s(literal 1/7 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 x x) (*.f32 x x)) |
| ✓ | accuracy | 99.3% | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
| ✓ | accuracy | 99.2% | (*.f32 (*.f32 x x) #s(literal 2/15 binary32)) |
| ✓ | accuracy | 98.6% | (*.f32 x #s(literal 1/7 binary32)) |
| ✓ | accuracy | 99.9% | (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32))))) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 x x) #s(literal -44/945 binary32)) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))) |
| ✓ | accuracy | 99.9% | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
| ✓ | accuracy | 99.9% | (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32))) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 x x) #s(literal -4/45 binary32)) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
| ✓ | accuracy | 100.0% | (*.f32 x x) |
| ✓ | accuracy | 99.9% | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
| ✓ | accuracy | 99.9% | (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) |
| ✓ | accuracy | 99.9% | (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))))) |
| ✓ | accuracy | 99.8% | (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
| ✓ | accuracy | 99.7% | (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) |
| 383.0ms | 162× | 1 | valid |
| 155.0ms | 47× | 5 | exit |
| 29.0ms | 47× | 0 | valid |
Compiled 551 to 57 computations (89.7% saved)
backward-pass: 134.0ms (31% of total)ival-div: 80.0ms (18.5% of total)ival-mult: 60.0ms (13.9% of total)...c/correct-round.rkt:119:19: 49.0ms (11.3% of total)compiled-spec: 32.0ms (7.4% of total)ival-add: 31.0ms (7.2% of total)ival-sub: 25.0ms (5.8% of total)ival-log: 20.0ms (4.6% of total)const: 2.0ms (0.5% of total)| Inputs |
|---|
#<alt (* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2))))))> |
#<alt (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))> |
#<alt (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x)))))> |
#<alt (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x)))> |
#<alt (/ x (+ 1 (* (* x x) -1/3)))> |
#<alt (+ 1 (* (* x x) -1/3))> |
#<alt (* (* x x) -1/3)> |
#<alt (* x x)> |
#<alt (/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45)))))> |
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45))))> |
#<alt (* (* x x) (+ -1/3 (* (* x x) -4/45)))> |
#<alt (/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))))> |
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))> |
#<alt (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))> |
#<alt (* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))))> |
#<alt (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))> |
#<alt (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))> |
#<alt (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))> |
#<alt (log (+ 1 (/ x (/ (+ x -1) 2))))> |
#<alt (/ x (/ (+ x -1) 2))> |
#<alt (* (* x x) -4/45)> |
#<alt (+ -1/3 (* (* x x) -4/45))> |
#<alt (* (* x x) (+ -4/45 (* (* x x) -44/945)))> |
#<alt (* (* x x) -44/945)> |
#<alt (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))> |
#<alt (* x 1/7)> |
#<alt (* (* x x) 2/15)> |
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))> |
#<alt (* (* x x) (* x 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 -3) (log 3)))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (- (log -3) (log 3)))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))> |
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 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 -3) (log 3))))> |
#<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 -3) (log 3))> |
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))> |
#<alt (- (log -3) (log 3))> |
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))> |
#<alt (- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -8 x) 4))> |
#<alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4))> |
#<alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))> |
#<alt (log -3)> |
#<alt (+ (log -3) (* 8/3 (/ 1 x)))> |
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))> |
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))> |
#<alt (log -3)> |
#<alt (+ (log -3) (* 8/3 (/ 1 x)))> |
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))> |
#<alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -8 x) 4))> |
#<alt (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))> |
#<alt (* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))> |
#<alt -4> |
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)> |
#<alt (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))> |
#<alt -4> |
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)> |
#<alt (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/9 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2))))))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x))> |
#<alt (/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 9 (/ 1 (pow x 2))))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (/ 27 (pow x 4)))) x))> |
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (+ (* 81 (/ 1 (pow x 6))) (/ 27 (pow x 4))))) x))> |
#<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 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<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 (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 (* 13/135 (pow x 2))))))))> |
#<alt (/ -45/4 (pow x 3))> |
#<alt (/ (- (* 675/16 (/ 1 (pow x 2))) 45/4) (pow x 3))> |
#<alt (/ (- (* 675/16 (/ 1 (pow x 2))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3))> |
#<alt (/ (- (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6)))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3))> |
#<alt (/ -45/4 (pow x 3))> |
#<alt (* -1 (/ (- 45/4 (* 675/16 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (* 675/16 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6))))) (pow x 3)))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))> |
#<alt (* -4/45 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -4/45 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))> |
#<alt (* -4/45 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -4/45 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (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 (/ -945/44 (pow x 5))> |
#<alt (/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))> |
#<alt (/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))> |
#<alt (/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))> |
#<alt (/ -945/44 (pow x 5))> |
#<alt (* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))> |
#<alt (* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))> |
#<alt (* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))> |
#<alt (* -44/945 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))> |
#<alt (* -44/945 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))> |
#<alt (* -44/945 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<alt (* -44/945 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<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 (* 14/15 x)> |
#<alt (* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))> |
#<alt (* 14/15 x)> |
#<alt (* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))> |
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))> |
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))> |
#<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 14/15> |
#<alt (- 14/15 (* 119/225 (/ 1 (pow x 2))))> |
#<alt (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))> |
#<alt (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))> |
#<alt 14/15> |
#<alt (- 14/15 (* 119/225 (/ 1 (pow x 2))))> |
#<alt (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))> |
#<alt (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))> |
#<alt 1> |
#<alt (+ 1 (* -1/9 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))> |
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))> |
#<alt (* -2/15 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))> |
#<alt (* -2/15 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))> |
#<alt (* 1/9 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))> |
#<alt (* 2/15 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))> |
#<alt (* -2 x)> |
#<alt (* x (- (* -4 x) 2))> |
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))> |
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))> |
#<alt (log 3)> |
#<alt (+ (log 3) (* 2/3 (/ 1 x)))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))> |
#<alt (log 3)> |
#<alt (+ (log 3) (* 2/3 (/ 1 x)))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))> |
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))> |
#<alt (* -2 x)> |
#<alt (* x (- (* -2 x) 2))> |
#<alt (* x (- (* x (- (* -2 x) 2)) 2))> |
#<alt (* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 x)))> |
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 x)))> |
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -4/45 (pow x 2))> |
#<alt -1/3> |
#<alt (- (* -4/45 (pow x 2)) 1/3)> |
#<alt (- (* -4/45 (pow x 2)) 1/3)> |
#<alt (- (* -4/45 (pow x 2)) 1/3)> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -4/45 (pow x 2))> |
#<alt (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))> |
#<alt (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))> |
#<alt (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))> |
#<alt (* -44/945 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* -44/945 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt (* -44/945 (pow x 2))> |
#<alt -1/3> |
#<alt (- (* -4/45 (pow x 2)) 1/3)> |
#<alt (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)> |
#<alt (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)> |
#<alt (* -44/945 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<alt (* -44/945 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))> |
#<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 (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (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 (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* (* x x) (+ -1/3 (* (* x x) -4/45))) |
| 1.0ms | x | @ | 0 | (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) |
| 1.0ms | x | @ | inf | (/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45))))) |
| 1.0ms | x | @ | -inf | (* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
| 1.0ms | x | @ | inf | (/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))) |
| 1× | batch-egg-rewrite |
| 7646× | *-lowering-*.f32 |
| 7646× | *-lowering-*.f64 |
| 5120× | accelerator-lowering-fma.f32 |
| 5120× | accelerator-lowering-fma.f64 |
| 3920× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 389 |
| 1 | 411 | 379 |
| 2 | 3786 | 379 |
| 0 | 10582 | 340 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2)))))) |
(- (log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) (log (+ 1 (/ x (/ (+ x -1) 2))))) |
(log (+ 1 (/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))))) |
(/ (/ x (/ (+ x -1) 2)) (+ -1/2 (/ 1/2 x))) |
(/ x (+ 1 (* (* x x) -1/3))) |
(+ 1 (* (* x x) -1/3)) |
(* (* x x) -1/3) |
(* x x) |
(/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45))))) |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) -4/45)))) |
(* (* x x) (+ -1/3 (* (* x x) -4/45))) |
(/ x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))) |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) |
(* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))) |
(* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))) |
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))) |
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) |
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))) |
(log (+ 1 (/ x (/ (+ x -1) 2)))) |
(/ x (/ (+ x -1) 2)) |
(* (* x x) -4/45) |
(+ -1/3 (* (* x x) -4/45)) |
(* (* x x) (+ -4/45 (* (* x x) -44/945))) |
(* (* x x) -44/945) |
(+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))) |
(* x 1/7) |
(* (* x x) 2/15) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(* (* x x) (* x x)) |
| Outputs |
|---|
(+.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))))) (*.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))))) |
(+.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (*.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))))) |
(fma.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))))))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))))))) |
(/.f32 (*.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))))) #s(literal 1/2 binary32)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))))))) |
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(/.f32 (*.f32 x (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) (*.f32 (*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x x))) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) #s(literal 1/3 binary32))))) |
(/.f32 (*.f32 x (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x x))) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) (*.f32 (*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x x))) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) x) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) #s(literal 1/3 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x x))) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) x) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) |
(*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) x) |
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 4 binary32))) |
(exp.f32 (+.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) (*.f32 #s(literal 2 binary32) (log.f32 x)))) |
(pow.f32 x #s(literal 4 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(*.f32 (*.f32 x x) (*.f32 x x)) |
(*.f32 (*.f32 x (*.f32 x x)) x) |
| 1× | egg-herbie |
| 7950× | accelerator-lowering-fma.f32 |
| 7950× | accelerator-lowering-fma.f64 |
| 4870× | +-lowering-+.f64 |
| 4870× | +-lowering-+.f32 |
| 4176× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 452 | 3206 |
| 1 | 1271 | 3165 |
| 2 | 3454 | 3076 |
| 0 | 8071 | 2937 |
| 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 -3) (log 3))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (- (log -3) (log 3))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 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 -3) (log 3)))) |
(* 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 -3) (log 3)) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3)) |
(- (log -3) (log 3)) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4)) |
-4 |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))) |
-4 |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/9 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))) 3) x) |
(/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 9 (/ 1 (pow x 2))))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (/ 27 (pow x 4)))) x)) |
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (+ (* 81 (/ 1 (pow x 6))) (/ 27 (pow x 4))))) x)) |
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 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -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)) |
(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 (* 13/135 (pow x 2)))))))) |
(/ -45/4 (pow x 3)) |
(/ (- (* 675/16 (/ 1 (pow x 2))) 45/4) (pow x 3)) |
(/ (- (* 675/16 (/ 1 (pow x 2))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3)) |
(/ (- (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6)))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3)) |
(/ -45/4 (pow x 3)) |
(* -1 (/ (- 45/4 (* 675/16 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (* 675/16 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6))))) (pow x 3))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) |
(* -4/45 (pow x 4)) |
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -4/45 (pow x 4)) |
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)) |
(* -4/45 (pow x 4)) |
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -4/45 (pow x 4)) |
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (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)))))))) |
(/ -945/44 (pow x 5)) |
(/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5)) |
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5)) |
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5)) |
(/ -945/44 (pow x 5)) |
(* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5))) |
(* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))) |
(* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) |
(* -44/945 (pow x 6)) |
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))))) |
(* -44/945 (pow x 6)) |
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)) |
(* -44/945 (pow x 6)) |
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* -44/945 (pow x 6)) |
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
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)))))))) |
(* 14/15 x) |
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2))))) |
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))) |
(* 14/15 x) |
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15))) |
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15))) |
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6))))))) |
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))))))) |
14/15 |
(- 14/15 (* 119/225 (/ 1 (pow x 2)))) |
(+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))) |
(- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))) |
14/15 |
(- 14/15 (* 119/225 (/ 1 (pow x 2)))) |
(+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))) |
(- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))) |
1 |
(+ 1 (* -1/9 (pow x 4))) |
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))) |
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))) |
(* -2/15 (pow x 6)) |
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))) |
(* -2/15 (pow x 6)) |
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))) |
(* 1/9 (pow x 4)) |
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) |
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) |
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) |
(* 2/15 (pow x 6)) |
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 6)) |
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) |
(* -2 x) |
(* x (- (* -4 x) 2)) |
(* x (- (* x (- (* -26/3 x) 4)) 2)) |
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2)) |
(log 3) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3)))))) |
(log 3) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x))) |
(* -2 x) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* -2 x) 2)) 2)) |
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
(* -4/45 (pow x 2)) |
-1/3 |
(- (* -4/45 (pow x 2)) 1/3) |
(- (* -4/45 (pow x 2)) 1/3) |
(- (* -4/45 (pow x 2)) 1/3) |
(* -4/45 (pow x 2)) |
(* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -4/45 (pow x 2)) |
(* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 4/45 (* 1/3 (/ 1 (pow x 2)))))) |
(* -4/45 (pow x 2)) |
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) |
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) |
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) |
(* -44/945 (pow x 4)) |
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* -44/945 (pow x 4)) |
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
(* -44/945 (pow x 2)) |
-1/3 |
(- (* -4/45 (pow x 2)) 1/3) |
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3) |
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3) |
(* -44/945 (pow x 4)) |
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* -44/945 (pow x 4)) |
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945)) |
(* 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) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (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))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(* 1/2 (- (log -3) (log 3))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) x))) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) x) (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))))) |
(* 1/2 (- (log -3) (log 3))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) |
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x)) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3)))) |
(-.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) #s(literal 2/3 binary32)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32)))))))))) |
(- (log -3) (log 3)) |
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3)) |
(+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32)))) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))))) |
(- (log -3) (log 3)) |
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3)) |
(-.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))) (*.f32 x x)) #s(literal -2 binary32)) x)) |
(* -4 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal -4 binary32))) |
(* (pow x 2) (- (* -8 x) 4)) |
(*.f32 x (*.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32))))) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4 binary32) (*.f32 x (+.f32 #s(literal -8 binary32) (*.f32 x #s(literal -20 binary32)))))) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4 binary32) (*.f32 x (+.f32 #s(literal -8 binary32) (*.f32 x (+.f32 #s(literal -20 binary32) (*.f32 x #s(literal -48 binary32)))))))) |
(log -3) |
(log.f32 #s(literal -3 binary32)) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal 8/3 binary32) x)) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (+.f32 (/.f32 #s(literal 4/9 binary32) (*.f32 x x)) (/.f32 #s(literal 80/81 binary32) (*.f32 x (*.f32 x x)))))) |
(log -3) |
(log.f32 #s(literal -3 binary32)) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal 8/3 binary32) x)) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -4/9 binary32) (/.f32 #s(literal -80/81 binary32) x)) x) #s(literal -8/3 binary32)) x)) |
(* -4 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal -4 binary32))) |
(* (pow x 2) (- (* -8 x) 4)) |
(*.f32 x (*.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32))))) |
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4)) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4 binary32) (*.f32 x (+.f32 #s(literal -8 binary32) (*.f32 x #s(literal -12 binary32)))))) |
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4)) |
(*.f32 (*.f32 x x) (+.f32 #s(literal -4 binary32) (*.f32 x (+.f32 #s(literal -8 binary32) (*.f32 x (+.f32 #s(literal -12 binary32) (*.f32 x #s(literal -16 binary32)))))))) |
-4 |
#s(literal -4 binary32) |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(-.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 12 binary32) x)) x)) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))) |
(+.f32 (/.f32 (+.f32 #s(literal -12 binary32) (/.f32 #s(literal -16 binary32) x)) (*.f32 x x)) (+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x))) |
-4 |
#s(literal -4 binary32) |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(-.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 12 binary32) x)) x)) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4) |
(+.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -8 binary32) (/.f32 #s(literal -12 binary32) x)) (/.f32 #s(literal -16 binary32) (*.f32 x x))) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/9 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/9 binary32)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/27 binary32))))))))) |
(/ -3 x) |
(/.f32 #s(literal -3 binary32) x) |
(* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x)) |
(/.f32 (+.f32 #s(literal -3 binary32) (/.f32 #s(literal -9 binary32) (*.f32 x x))) x) |
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))) 3) x) |
(/.f32 (+.f32 #s(literal -3 binary32) (/.f32 (+.f32 #s(literal -9 binary32) (/.f32 #s(literal -27 binary32) (*.f32 x x))) (*.f32 x x))) x) |
(/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 9 (/ 1 (pow x 2))))) x) |
(/.f32 (-.f32 (+.f32 #s(literal -3 binary32) (/.f32 #s(literal -9 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 27 binary32) (/.f32 #s(literal 81 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))) x) |
(/ -3 x) |
(/.f32 #s(literal -3 binary32) x) |
(* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x)) |
(/.f32 (+.f32 #s(literal -3 binary32) (/.f32 #s(literal -9 binary32) (*.f32 x x))) x) |
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (/ 27 (pow x 4)))) x)) |
(/.f32 (+.f32 #s(literal -3 binary32) (+.f32 (/.f32 #s(literal -9 binary32) (*.f32 x x)) (/.f32 #s(literal -27 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) x) |
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (+ (* 81 (/ 1 (pow x 6))) (/ 27 (pow x 4))))) x)) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 9 binary32) (*.f32 x x)) (/.f32 #s(literal 27 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 81 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 x)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(* -1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -1/3 binary32)) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 13/135 (pow x 2)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 13/135 binary32))))))))) |
(/ -45/4 (pow x 3)) |
(/.f32 #s(literal -45/4 binary32) (*.f32 x (*.f32 x x))) |
(/ (- (* 675/16 (/ 1 (pow x 2))) 45/4) (pow x 3)) |
(/.f32 (+.f32 #s(literal -45/4 binary32) (/.f32 #s(literal 675/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x x))) |
(/ (- (* 675/16 (/ 1 (pow x 2))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3)) |
(/.f32 (+.f32 (+.f32 #s(literal -45/4 binary32) (/.f32 #s(literal 675/16 binary32) (*.f32 x x))) (/.f32 #s(literal -18225/64 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x x))) |
(/ (- (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6)))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3)) |
(/.f32 (+.f32 (/.f32 #s(literal 675/16 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 394875/256 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 45/4 binary32) (/.f32 #s(literal 18225/64 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))) (*.f32 x (*.f32 x x))) |
(/ -45/4 (pow x 3)) |
(/.f32 #s(literal -45/4 binary32) (*.f32 x (*.f32 x x))) |
(* -1 (/ (- 45/4 (* 675/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f32 (+.f32 #s(literal -45/4 binary32) (/.f32 #s(literal 675/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x x))) |
(* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (* 675/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f32 (+.f32 (+.f32 #s(literal -45/4 binary32) (/.f32 #s(literal 675/16 binary32) (*.f32 x x))) (/.f32 #s(literal -18225/64 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x x))) |
(* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6))))) (pow x 3))) |
(/.f32 (+.f32 (/.f32 #s(literal 675/16 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 394875/256 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 45/4 binary32) (/.f32 #s(literal 18225/64 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))) (*.f32 x (*.f32 x x))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))) |
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) |
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(*.f32 (*.f32 x x) (*.f32 x x)) |
(pow x 4) |
(*.f32 (*.f32 x x) (*.f32 x x)) |
(pow x 4) |
(*.f32 (*.f32 x x) (*.f32 x x)) |
Compiled 42262 to 3812 computations (91% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1263 | 12 | 1275 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1264 | 22 | 1286 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) | |
| 99.5% | (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))))))) | |
| 99.5% | (/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) | |
| ✓ | 99.5% | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
| ✓ | 99.3% | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
| ✓ | 99.0% | (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
| 99.0% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) x)) | |
| 98.5% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) | |
| ✓ | 99.3% | (+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
| ✓ | 98.9% | (+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
| 99.5% | (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x) | |
| 99.3% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) x) | |
| 99.4% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))) x) | |
| 98.9% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) | |
| 21.4% | (*.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32)) | |
| 99.5% | (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))))) | |
| 99.5% | (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/81 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/225 binary32))) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) | |
| ✓ | 99.5% | (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
| ✓ | 99.8% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
| 21.4% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))))) | |
| ✓ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 97.7% | x |
Compiled 1565 to 530 computations (66.1% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) x) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x) |
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/81 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/225 binary32))) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) x))) |
(/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))))))) |
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))))) |
(*.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))) (log1p.f32 (/.f32 x (/.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
4 calls:
| 19.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 19.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 10.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.9% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.9% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) x) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x) |
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/81 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/225 binary32))) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) x))) |
(/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))))))) |
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (+.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) x))) |
| Outputs |
|---|
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) x) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x) |
| Outputs |
|---|
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) x) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) |
| Outputs |
|---|
(/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) x) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))))))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))))))))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| Outputs |
|---|
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) x) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
| Outputs |
|---|
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) x) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))) |
| Outputs |
|---|
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
| Outputs |
|---|
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
| Outputs |
|---|
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32))))) x) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))) x)) |
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))) |
| Outputs |
|---|
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
| Outputs |
|---|
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
| Outputs |
|---|
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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 |
|---|---|---|
| 97.7% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 118× | *-commutative_binary32 |
| 82× | +-commutative_binary32 |
| 44× | sub-neg_binary32 |
| 38× | distribute-lft-neg-in_binary32 |
| 38× | neg-sub0_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 228 |
| 1 | 157 | 228 |
| 2 | 188 | 228 |
| 3 | 216 | 228 |
| 4 | 249 | 228 |
| 5 | 273 | 228 |
| 6 | 294 | 228 |
| 7 | 309 | 228 |
| 8 | 316 | 228 |
| 9 | 319 | 228 |
| 10 | 320 | 228 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x) |
(/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
x |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x) |
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32)))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal -4/45 binary32) (*.f32 x (*.f32 x #s(literal -44/945 binary32))))) (*.f32 x (*.f32 x #s(literal -1/3 binary32)))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) #s(literal -4/45 binary32)))))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) x) |
(+.f32 x (*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) |
(+.f32 (*.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) x) |
(+.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
x |
| 12938× | accelerator-lowering-fma.f32 |
| 12938× | accelerator-lowering-fma.f64 |
| 9736× | accelerator-lowering-fma.f32 |
| 9736× | accelerator-lowering-fma.f64 |
| 7646× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 389 |
| 1 | 411 | 379 |
| 2 | 3786 | 379 |
| 0 | 10582 | 340 |
| 0 | 35 | 206 |
| 1 | 205 | 198 |
| 2 | 1696 | 197 |
| 0 | 8508 | 174 |
| 0 | 391 | 3270 |
| 1 | 1113 | 3218 |
| 2 | 2844 | 3175 |
| 3 | 6389 | 3168 |
| 0 | 8200 | 3035 |
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 358 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 651 to 355 computations (45.5% saved)
Compiled 480 to 184 computations (61.7% saved)
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