
Time bar (total: 7.8s)
| 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)| 247.0ms | 8256× | 0 | valid |
ival-atanh: 74.0ms (88.7% of total)const: 7.0ms (8.4% of total)backward-pass: 3.0ms (3.6% of total)| 2× | egg-herbie |
| 252× | fma-define |
| 212× | sum3-define |
| 132× | fma-lowering-fma.f32 |
| 132× | fma-lowering-fma.f64 |
| 126× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 11 | 9 |
| 2 | 15 | 9 |
| 3 | 18 | 9 |
| 4 | 30 | 9 |
| 5 | 37 | 9 |
| 6 | 46 | 9 |
| 7 | 52 | 9 |
| 0 | 10 | 10 |
| 1 | 20 | 10 |
| 2 | 28 | 10 |
| 3 | 37 | 10 |
| 4 | 47 | 10 |
| 5 | 66 | 10 |
| 6 | 111 | 10 |
| 7 | 188 | 10 |
| 8 | 360 | 10 |
| 9 | 461 | 10 |
| 10 | 528 | 10 |
| 11 | 542 | 10 |
| 12 | 651 | 10 |
| 0 | 651 | 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) |
| 85.0ms | 304× | 1 | valid |
| 47.0ms | 208× | 0 | valid |
Compiled 85 to 29 computations (65.9% saved)
compiled-spec: 42.0ms (36.9% of total)backward-pass: 25.0ms (21.9% of total)ival-log: 15.0ms (13.2% of total)ival-mult: 13.0ms (11.4% of total)ival-div: 6.0ms (5.3% of total)ival-add: 5.0ms (4.4% of total)ival-sub: 5.0ms (4.4% of total)const: 2.0ms (1.8% of total)Compiled 11 to 9 computations (18.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.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)))) |
| 252× | fma-define |
| 212× | sum3-define |
| 132× | fma-lowering-fma.f32 |
| 132× | fma-lowering-fma.f64 |
| 126× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 20 | 35 |
| 2 | 28 | 35 |
| 3 | 37 | 35 |
| 4 | 47 | 35 |
| 5 | 66 | 35 |
| 6 | 111 | 35 |
| 7 | 188 | 35 |
| 8 | 360 | 35 |
| 9 | 461 | 35 |
| 10 | 528 | 35 |
| 11 | 542 | 35 |
| 12 | 651 | 35 |
| 0 | 651 | 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)) |
| 52.0ms | 152× | 1 | valid |
| 11.0ms | 104× | 0 | valid |
Compiled 37 to 10 computations (73% saved)
compiled-spec: 15.0ms (31.4% of total)ival-mult: 8.0ms (16.7% of total)ival-log: 8.0ms (16.7% of total)ival-add: 5.0ms (10.5% of total)ival-sub: 4.0ms (8.4% of total)backward-pass: 4.0ms (8.4% of total)ival-div: 3.0ms (6.3% of total)const: 1.0ms (2.1% of total)| Inputs |
|---|
#<alt (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))> |
#<alt (log (+ 1 (/ (* 2 x) (- 1 x))))> |
#<alt (/ (* 2 x) (- 1 x))> |
#<alt (* 2 x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))> |
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | -inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 0.0ms | x | @ | -inf | (* 2 x) |
| 0.0ms | x | @ | inf | (* 2 x) |
| 1× | batch-egg-rewrite |
| 3232× | *-lowering-*.f32 |
| 3232× | *-lowering-*.f64 |
| 2314× | /-lowering-/.f32 |
| 2314× | /-lowering-/.f64 |
| 1602× | sum5-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 50 | 28 |
| 2 | 417 | 28 |
| 3 | 6054 | 28 |
| 0 | 8241 | 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))) |
(neg.f32 (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 (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))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.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 (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))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 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 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))) |
(-.f32 #s(literal 0 binary32) (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 (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))))) (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))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))) |
(-.f32 (log.f32 (neg.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))))))) (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 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 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 (*.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 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 (-.f32 (pow.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))))) #s(literal 3 binary32)) (pow.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)))) #s(literal 3 binary32))) (+.f32 (*.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))))) (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 (*.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 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 (*.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 (-.f32 (pow.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))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32))) (+.f32 (*.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))))) (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 (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 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))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))))) |
(/.f32 (-.f32 (*.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))))) (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 (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 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 (*.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 (-.f32 (*.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))))) (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 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 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))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))) |
(log.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))) |
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32))) |
(+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) |
(+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32))) |
(+.f32 (*.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 x))) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) x)) |
(+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x)) |
(+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 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 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(+.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 x (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(+.f32 (*.f32 x (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(pow.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 x #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 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 #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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) |
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) |
(/.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 x #s(literal -1 binary32))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 x (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
(*.f32 x (*.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) #s(literal 1 binary32)) |
(*.f32 (*.f32 x #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32))) |
(*.f32 (neg.f32 x) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) (*.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))) |
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal -2 binary32) (*.f32 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 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (/.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 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.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 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) |
(*.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 #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 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) 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)))) (neg.f32 (+.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))) (neg.f32 (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (neg.f32 (+.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))) (neg.f32 (+.f32 #s(literal 1 binary32) x))) |
(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 |
| 2126× | *-lowering-*.f32 |
| 2126× | *-lowering-*.f64 |
| 2060× | sum3-define |
| 1780× | fma-lowering-fma.f32 |
| 1780× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 394 |
| 1 | 331 | 359 |
| 2 | 991 | 349 |
| 3 | 2893 | 344 |
| 4 | 5281 | 344 |
| 0 | 8394 | 344 |
| 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 #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 x (*.f32 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 (*.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 -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 binary32) x) (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.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 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.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 #s(literal 1 binary32) x) (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.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 (*.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 -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 (/.f32 #s(literal 2 binary32) x) (/.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 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) 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 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32)))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 x (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 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))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) 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 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) 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 2946 to 581 computations (80.3% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 148 | 7 | 155 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 148 | 8 | 156 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (*.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 binary32)) | |
| ▶ | 99.4% | (*.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))))))))) |
| ▶ | 99.3% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
| ▶ | 98.7% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
| 99.3% | (*.f32 #s(literal 1/2 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))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))) | |
| ✓ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ▶ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32))))) |
| ▶ | 97.0% | x |
Compiled 255 to 161 computations (36.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.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))))))) |
| ✓ | cost-diff | 0 | (+.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)))))))) |
| ✓ | cost-diff | 0 | (*.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))))))))) |
| ✓ | cost-diff | 0 | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 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 #s(literal 1/5 binary32)))))))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) |
| ✓ | cost-diff | 0 | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
| ✓ | cost-diff | 64 | (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) |
| ✓ | cost-diff | 384 | (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32))) |
| ✓ | cost-diff | 384 | (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 384 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32))))) |
| 2346× | fma-lowering-fma.f32 |
| 2346× | fma-lowering-fma.f64 |
| 2066× | fma-define |
| 1936× | *-lowering-*.f32 |
| 1936× | *-lowering-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 319 |
| 1 | 131 | 291 |
| 2 | 410 | 286 |
| 3 | 1347 | 283 |
| 4 | 3129 | 283 |
| 5 | 5095 | 283 |
| 6 | 6341 | 283 |
| 0 | 8013 | 283 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))) |
1/2 |
(log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))) |
(+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)) |
(* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) |
(/ (* 2 x) (- 1 (* x (* x x)))) |
(* 2 x) |
2 |
x |
(- 1 (* x (* x x))) |
1 |
(* x (* x x)) |
(* x x) |
(* x (+ 1 x)) |
(+ 1 x) |
(* (/ (* 2 x) (- 1 (* x (* x x)))) 1) |
x |
(* x (+ 1 (* 1/3 (* x x)))) |
x |
(+ 1 (* 1/3 (* x x))) |
1 |
(* 1/3 (* x x)) |
1/3 |
(* x x) |
(* 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 (+ 1/3 (* x (* x 1/5)))) |
(+ 1/3 (* x (* x 1/5))) |
1/3 |
(* x (* x 1/5)) |
(* 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 x) |
(+ 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) |
1/7 |
| Outputs |
|---|
(* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
1/2 |
#s(literal 1/2 binary32) |
(log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)) |
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) |
(* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) |
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) |
(/ (* 2 x) (- 1 (* x (* x x)))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
2 |
#s(literal 2 binary32) |
x |
(- 1 (* x (* x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) |
1 |
#s(literal 1 binary32) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
(* x x) |
(*.f32 x x) |
(* x (+ 1 x)) |
(*.f32 x (+.f32 #s(literal 1 binary32) x)) |
(+ 1 x) |
(+.f32 #s(literal 1 binary32) x) |
(* (/ (* 2 x) (- 1 (* x (* x x)))) 1) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) |
x |
(* x (+ 1 (* 1/3 (* x x)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) |
x |
(+ 1 (* 1/3 (* x x))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
1 |
#s(literal 1 binary32) |
(* 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 (+ 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 (+ 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 1/5) |
(*.f32 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 (*.f32 x 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 (*.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)))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
(* x x) |
(*.f32 x x) |
(+ 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(*.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)) |
1/7 |
#s(literal 1/7 binary32) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
| ✓ | accuracy | 99.5% | (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
| ✓ | accuracy | 99.4% | (*.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))))))) |
| ✓ | accuracy | 99.3% | (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))) |
| ✓ | accuracy | 99.4% | (*.f32 x #s(literal 1/5 binary32)) |
| ✓ | accuracy | 99.0% | (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))) |
| ✓ | accuracy | 100.0% | (*.f32 x x) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))) |
| ✓ | accuracy | 99.8% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
| ✓ | accuracy | 99.4% | (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) |
| ✓ | accuracy | 99.9% | (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.8% | (*.f32 x (+.f32 #s(literal 1 binary32) x)) |
| ✓ | accuracy | 99.8% | (*.f32 x (*.f32 x x)) |
| ✓ | accuracy | 99.7% | (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (+.f32 #s(literal 1 binary32) x))) |
| 194.0ms | 152× | 1 | valid |
| 73.0ms | 104× | 0 | valid |
Compiled 375 to 38 computations (89.9% saved)
ival-mult: 60.0ms (38.7% of total)backward-pass: 25.0ms (16.1% of total)...c/correct-round.rkt:119:19: 23.0ms (14.8% of total)ival-add: 18.0ms (11.6% of total)compiled-spec: 13.0ms (8.4% of total)ival-log: 8.0ms (5.2% of total)ival-div: 3.0ms (1.9% of total)ival-sub: 3.0ms (1.9% of total)const: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))))> |
#<alt (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))> |
#<alt (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))> |
#<alt (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)> |
#<alt (* x (+ 1 (* 1/3 (* x x))))> |
#<alt (+ 1 (* 1/3 (* x x)))> |
#<alt (* 1/3 (* x x))> |
#<alt (* x x)> |
#<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 (+ 1/3 (* x (* x 1/5))))> |
#<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 (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x)))> |
#<alt (* x (* x x))> |
#<alt (* x (+ 1 x))> |
#<alt (* x 1/5)> |
#<alt (* x (* x 1/5))> |
#<alt (* (* x x) 1/7)> |
#<alt (* x (+ 1/5 (* (* x x) 1/7)))> |
#<alt (* 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 -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 (* x (+ 2 (* 2 (pow x 3))))> |
#<alt (* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))> |
#<alt (* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))> |
#<alt (/ -2 (pow x 2))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))> |
#<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 (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> |
#<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 (* 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) (+ 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 (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 2 x)))> |
#<alt (* (pow x 2) (+ 2 (* x (+ 2 (* 2 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 2 (* x (+ 2 (* (pow x 2) (+ 2 (* 2 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 2)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 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 (* 1/7 (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 x)> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* x (+ 1/5 (* (* x x) 1/7))) |
| 1.0ms | x | @ | inf | (* (/ (* 2 x) (- 1 (* x (* x x)))) 1) |
| 1.0ms | x | @ | 0 | (* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* 1/3 (* x x)))) |
| 0.0ms | x | @ | inf | (* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))) |
| 1× | batch-egg-rewrite |
| 4778× | *-lowering-*.f32 |
| 4778× | *-lowering-*.f64 |
| 2490× | fma-lowering-fma.f32 |
| 2490× | fma-lowering-fma.f64 |
| 2340× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 249 |
| 1 | 249 | 225 |
| 2 | 2506 | 220 |
| 0 | 8883 | 220 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))) |
(log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))) |
(+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)) |
(* (/ (* 2 x) (- 1 (* x (* x x)))) 1) |
(* x (+ 1 (* 1/3 (* x x)))) |
(+ 1 (* 1/3 (* x x))) |
(* 1/3 (* x x)) |
(* x x) |
(* 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 (+ 1/3 (* x (* x 1/5)))) |
(* 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)))))) |
(* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) |
(* x (* x x)) |
(* x (+ 1 x)) |
(* x 1/5) |
(* x (* x 1/5)) |
(* (* x x) 1/7) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(* x (* x (+ 1/5 (* (* x x) 1/7)))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(*.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.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))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))))) |
(+.f32 (log1p.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))))))) |
(+.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.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))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.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))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))))) |
(-.f32 (log1p.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))) (log1p.f32 (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))) (log.f32 (+.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.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))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))))) |
(-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.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))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))) (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.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))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))))) |
(-.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))))) (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))) (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))))) |
(-.f32 (log.f32 (-.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.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))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))) (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))))) (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))) |
(log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(+.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(+.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 2 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 2 binary32) x)))) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (-.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 2 binary32) x))) (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (-.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 2 binary32) x))))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(fma.f32 x (*.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(fma.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(fma.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
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(fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) x)) |
(fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) x (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 2 binary32) x))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) |
(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(/.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 2 binary32) x))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 2 binary32) x))) |
(/.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (*.f32 x #s(literal -2 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(/.f32 (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 x (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) |
(*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) |
(*.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(*.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) #s(literal 1 binary32)) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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 x (+.f32 #s(literal 1 binary32) x)))) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(*.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(*.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) |
(*.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1 binary32) x)) x) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) |
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 x))) |
(pow.f32 x #s(literal 3 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) |
(*.f32 x (*.f32 x x)) |
(*.f32 (*.f32 x x) x) |
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32))) |
(+.f32 x (*.f32 x x)) |
(+.f32 (*.f32 x x) x) |
(fma.f32 #s(literal 1 binary32) x (*.f32 x x)) |
(fma.f32 x #s(literal 1 binary32) (*.f32 x x)) |
(fma.f32 x x x) |
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 x (*.f32 x x))))) |
(/.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (-.f32 x (*.f32 x x))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 x (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1 binary32) (*.f32 x (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 x (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(*.f32 x #s(literal 1/5 binary32)) |
(*.f32 #s(literal 1/5 binary32) x) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(*.f32 #s(literal 1/5 binary32) (*.f32 x x)) |
(*.f32 (*.f32 x #s(literal 1/5 binary32)) x) |
(*.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) |
(+.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x #s(literal 1/5 binary32))) |
(fma.f32 x #s(literal 1/5 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32))) |
(fma.f32 (*.f32 x x) (*.f32 x #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32))) |
(fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32) (*.f32 x #s(literal 1/5 binary32))) |
(fma.f32 #s(literal 1/5 binary32) x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(fma.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x)) (*.f32 x #s(literal 1/5 binary32))) |
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) x (*.f32 x #s(literal 1/5 binary32))) |
(fma.f32 (*.f32 x #s(literal 1/7 binary32)) (*.f32 x x) (*.f32 x #s(literal 1/5 binary32))) |
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32))) (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x (*.f32 (*.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 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (-.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x (*.f32 (*.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 1/25 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 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)))) 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))) x) (-.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(*.f32 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))) x) |
(+.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) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) x)) |
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) x)) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) x)) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) x)) |
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x))) |
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) x)) |
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x))) |
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 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 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) |
| 1× | egg-herbie |
| 3786× | *-lowering-*.f32 |
| 3786× | *-lowering-*.f64 |
| 2782× | /-lowering-/.f32 |
| 2782× | /-lowering-/.f64 |
| 2116× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 2284 |
| 1 | 778 | 2111 |
| 2 | 2439 | 2061 |
| 3 | 7428 | 2058 |
| 0 | 8322 | 2058 |
| 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) |
(* x (+ 2 (* 2 (pow x 3)))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
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)) |
(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 |
(+ 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))))) |
(* 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) (+ 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)))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 x))) |
(* (pow x 2) (+ 2 (* x (+ 2 (* 2 (pow x 2)))))) |
(* (pow x 2) (+ 2 (* x (+ 2 (* (pow x 2) (+ 2 (* 2 x))))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 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)) |
(* 1/7 (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 x) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
| 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 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 (*.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))))))))) |
(* 1/2 (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 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 #s(literal 1 binary32) 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 1/5 binary32) (pow.f32 x #s(literal 5 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 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 (/.f32 #s(literal -1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (*.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 -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 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (*.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 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32)))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))))) |
-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 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) |
(- (* -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 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
-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 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (pow x 3)))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 x x))))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 x x)))))))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
(*.f32 x (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 x x)))))) |
(/ -2 (pow x 2)) |
(/.f32 #s(literal -2 binary32) (*.f32 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x)))) (*.f32 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x))))) (*.f32 x x)) |
(/ -2 (pow x 2)) |
(/.f32 #s(literal -2 binary32) (*.f32 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x)))) (*.f32 x x)) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x (*.f32 x x)))) (*.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 (* 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 |
#s(literal 1 binary32) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* 1/3 (pow x 2)) |
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x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
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#s(literal 1 binary32) |
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x |
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1 |
#s(literal 1 binary32) |
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(* 1/7 (pow x 6)) |
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(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
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(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
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(*.f32 x (*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32)))))) |
-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 (pow x 2)))) x)) 2) |
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) |
-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 (pow x 2)))) x)) 2) |
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 2) |
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
x |
(* x (+ 1 x)) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(* x (+ 1 x)) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(* x (+ 1 x)) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 x) |
(*.f32 x #s(literal 1/5 binary32)) |
(* 1/5 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))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 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))) |
(* 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 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x))) |
(* (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 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x))) |
(* (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))))) |
(* 1/5 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* 1/7 (pow x 4)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* 1/7 (pow x 4)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
Compiled 34253 to 3317 computations (90.3% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1023 | 6 | 1029 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1027 | 10 | 1037 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f32 (*.f32 (+.f32 #s(literal 1 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 (*.f32 (*.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 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 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 (*.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)))))))) #s(literal 1 binary32))))) | |
| ▶ | 99.6% | (+.f32 (*.f32 (*.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))))))) x) |
| ▶ | 98.9% | (+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
| ▶ | 99.4% | (+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
| ▶ | 99.4% | (*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)))) |
| ✓ | 99.3% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
| ✓ | 98.7% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
| ▶ | 99.4% | (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.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 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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
| ✓ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 97.0% | x |
Compiled 507 to 204 computations (59.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (*.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 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)))))))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.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 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))))))))) |
| ✓ | cost-diff | 64 | (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.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 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 #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 (*.f32 x x) #s(literal 1/7 binary32))))))))))) |
| ✓ | cost-diff | 64 | (*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.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 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 #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 (*.f32 x x) #s(literal 1/7 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 | 128 | (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32))) |
| ✓ | cost-diff | 128 | (*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 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 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
| ✓ | cost-diff | 0 | (*.f32 x #s(literal 1/3 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x x)) |
| ✓ | cost-diff | 0 | (*.f32 (*.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))))))) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 (*.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))))))) x) |
| 2278× | *-lowering-*.f32 |
| 2278× | *-lowering-*.f64 |
| 1990× | fma-define |
| 1734× | fnmadd-define |
| 1726× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 603 |
| 1 | 135 | 540 |
| 2 | 519 | 520 |
| 3 | 2124 | 520 |
| 4 | 6122 | 520 |
| 0 | 8082 | 520 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x) |
(* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) |
(* x (* x x)) |
x |
(* x x) |
(+ 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) |
1/7 |
(+ (* (* x x) (* x 1/3)) x) |
(* (* x x) (* x 1/3)) |
(* x x) |
x |
(* x 1/3) |
1/3 |
(+ (* 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 x) |
(+ 1/3 (* (* x x) 1/5)) |
1/3 |
(* (* x x) 1/5) |
1/5 |
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1))) |
x |
(+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)) |
(* x (* x 1/3)) |
(* x 1/3) |
1/3 |
(+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1) |
(* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) |
(* x x) |
(* 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) |
1/7 |
1 |
(* x (* (- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) |
1 |
(* (* (* x (* 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 x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) |
(* x (* x x)) |
(* x x) |
(+ 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) |
1/7 |
(* 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))))))) |
| Outputs |
|---|
(+ (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x) |
(*.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 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) |
(*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
x |
(* x x) |
(*.f32 x x) |
(+ 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(*.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)) |
1/7 |
#s(literal 1/7 binary32) |
(+ (* (* x x) (* x 1/3)) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) #s(literal 1 binary32))) |
(* (* x x) (* x 1/3)) |
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/3 binary32)) |
(* x x) |
(*.f32 x x) |
x |
(* x 1/3) |
(*.f32 x #s(literal 1/3 binary32)) |
1/3 |
#s(literal 1/3 binary32) |
(+ (* x (* (* x x) (+ 1/3 (* (* x x) 1/5)))) x) |
(*.f32 x (+.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) #s(literal 1 binary32))) |
(* x (* (* x x) (+ 1/3 (* (* x x) 1/5)))) |
(*.f32 (*.f32 x (*.f32 x 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 (*.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 (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1))) |
(*.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 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
x |
(+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)) |
(+.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 (*.f32 x x) #s(literal 1/7 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 x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1) |
(+.f32 (*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) |
(* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* x x) |
(*.f32 x x) |
(* x (* x (+ 1/5 (* (* x x) 1/7)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(*.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)) |
1/7 |
#s(literal 1/7 binary32) |
1 |
#s(literal 1 binary32) |
(* x (* (- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 (*.f32 x (*.f32 x x)) (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (-.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x 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 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
x |
(* (- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 (*.f32 x (*.f32 x x)) (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (-.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x 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 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (-.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
1 |
#s(literal 1 binary32) |
(* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x 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 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) |
(*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
(* x x) |
(*.f32 x x) |
(+ 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(*.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)) |
1/7 |
#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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 | 99.6% | (*.f32 (*.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))))))) |
| ✓ | accuracy | 99.5% | (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
| ✓ | accuracy | 99.3% | (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
| ✓ | accuracy | 99.0% | (*.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))))))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
| ✓ | accuracy | 99.5% | (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
| ✓ | accuracy | 99.3% | (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 x #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.9% | (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
| ✓ | accuracy | 99.4% | (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
| ✓ | accuracy | 100.0% | (+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
| ✓ | accuracy | 100.0% | (*.f32 x x) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) |
| ✓ | accuracy | 98.9% | (*.f32 x #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
| ✓ | accuracy | 99.6% | (*.f32 (*.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))))))) |
| ✓ | accuracy | 99.5% | (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
| ✓ | accuracy | 99.3% | (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
| 146.0ms | 256× | 0 | valid |
Compiled 649 to 36 computations (94.5% saved)
ival-mult: 61.0ms (64.6% of total)ival-add: 18.0ms (19.1% of total)...c/correct-round.rkt:119:19: 10.0ms (10.6% of total)ival-sub: 2.0ms (2.1% of total)ival-div: 2.0ms (2.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)> |
#<alt (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (+ (* (* x x) (* x 1/3)) x)> |
#<alt (* (* x x) (* x 1/3))> |
#<alt (* x 1/3)> |
#<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 (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)))> |
#<alt (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1))> |
#<alt (* x (* x 1/3))> |
#<alt (* x (* (- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))> |
#<alt (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))> |
#<alt (* (* x x) 1/7)> |
#<alt (* x (+ 1/5 (* (* x x) 1/7)))> |
#<alt (* x (* x (+ 1/5 (* (* x x) 1/7))))> |
#<alt (* (* x x) 1/5)> |
#<alt (+ 1/3 (* (* x x) 1/5))> |
#<alt (* 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 (* 1/7 (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 (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* (pow x 3) (+ 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))))))> |
#<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 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 (* 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 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 (* 1/3 (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 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 (* 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 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 (* 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 x)> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<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)))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* x (* (- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 | @ | 0 | (* x (* (- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 x) (* x 1/3)) |
| 0.0ms | x | @ | inf | (+ (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x) |
| 0.0ms | x | @ | -inf | (* x 1/3) |
| 1× | batch-egg-rewrite |
| 4002× | *-lowering-*.f32 |
| 4002× | *-lowering-*.f64 |
| 3182× | /-lowering-/.f32 |
| 3182× | /-lowering-/.f64 |
| 1318× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 300 |
| 1 | 257 | 242 |
| 2 | 2462 | 241 |
| 0 | 8401 | 241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x) |
(* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) |
(* x (* x x)) |
(* x x) |
(+ (* (* x x) (* x 1/3)) x) |
(* (* x x) (* x 1/3)) |
(* x 1/3) |
(+ (* 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 (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1))) |
(+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)) |
(* x (* x 1/3)) |
(* x (* (- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* 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 x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) |
(* (* (* x (* 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) 1/7) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(* x (* x (+ 1/5 (* (* x x) 1/7)))) |
(* (* x x) 1/5) |
(+ 1/3 (* (* x x) 1/5)) |
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) |
| Outputs |
|---|
(+.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x) |
(+.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x)) |
(+.f32 (+.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (*.f32 x (-.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x) (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (*.f32 x x))) #s(literal -1 binary32)) |
(fma.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) |
(fma.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) x) |
(fma.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 x (*.f32 x x)) x) |
(-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))) |
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(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/27 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal 1/5 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 (*.f32 x #s(literal 1/3 binary32)) (*.f32 x #s(literal 1/3 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 x #s(literal 1/3 binary32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (-.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal 1/5 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 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) #s(literal 1/3 binary32))))) |
(/.f32 (*.f32 x (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (+.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 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.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)))))))) x) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) #s(literal 1/3 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (+.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))))))) x) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/27 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal 1/5 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)))))))))) (neg.f32 (+.f32 (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 x #s(literal 1/3 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 x #s(literal 1/3 binary32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (neg.f32 (-.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(/.f32 (neg.f32 (*.f32 x (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal 1/5 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)))))))))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) #s(literal 1/3 binary32)))))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (+.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))))))))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal 1/5 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)))))))) x)) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) #s(literal 1/3 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (+.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))))))) x)) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x 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 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
(*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) x) |
| 1× | egg-herbie |
| 4780× | *-lowering-*.f32 |
| 4780× | *-lowering-*.f64 |
| 2934× | +-lowering-+.f64 |
| 2934× | +-lowering-+.f32 |
| 1922× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 2493 |
| 1 | 546 | 2349 |
| 2 | 1672 | 2297 |
| 3 | 4973 | 2285 |
| 0 | 9192 | 2285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* (pow x 3) (+ 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)))))) |
(* 1/7 (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 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 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) |
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 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))) |
(* 1/3 (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))))) |
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)) |
(* 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)) |
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))))))) |
(* 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 x) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 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))) |
| 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 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 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.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) |
(pow x 2) |
(*.f32 x x) |
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 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
(* 1/3 x) |
(*.f32 x #s(literal 1/3 binary32)) |
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 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)))))) |
(*.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))))))) |
(* 1/5 (pow x 5)) |
(*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/5 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/5 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 1/5 (pow x 5)) |
(*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/5 binary32) (/.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/5 binary32) (/.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))) |
(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))) |
(* 1/5 (pow x 5)) |
(*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* 1/5 (pow x 5)) |
(*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* 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 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
(* 1/5 (pow x 4)) |
(*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
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(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* 1/7 (pow x 3)) |
(*.f32 x (*.f32 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* 1/7 (pow x 4)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 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 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 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 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 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 x (*.f32 x (*.f32 x x)))) |
(* 1/7 (pow x 4)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 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 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 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 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 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 x (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x 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 (*.f32 x x) #s(literal 1/5 binary32))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(* 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))))) |
(* 1/7 (pow x 5)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 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 x (*.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 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x (*.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 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* 1/7 (pow x 5)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 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 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
Compiled 88775 to 3238 computations (96.4% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1494 | 3 | 1497 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1497 | 10 | 1507 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
| ✓ | 98.9% | (+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
| ✓ | 99.4% | (+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
| ▶ | 99.3% | (*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
| ✓ | 99.4% | (*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)))) |
| ✓ | 99.3% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
| ✓ | 98.7% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
| ▶ | 99.5% | (*.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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
| ✓ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 97.0% | x |
Compiled 175 to 109 computations (37.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
| ✓ | cost-diff | 0 | (*.f32 x #s(literal 1/3 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
| ✓ | cost-diff | 128 | (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32))) |
| ✓ | cost-diff | 128 | (*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))) |
| ✓ | cost-diff | 0 | (-.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)))))) |
| ✓ | cost-diff | 64 | (*.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 #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 (*.f32 x x) #s(literal 1/7 binary32))))))))))) |
| ✓ | cost-diff | 64 | (*.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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
| 2550× | *-lowering-*.f32 |
| 2550× | *-lowering-*.f64 |
| 2168× | fma-lowering-fma.f32 |
| 2168× | fma-lowering-fma.f64 |
| 1688× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 416 |
| 1 | 146 | 358 |
| 2 | 519 | 349 |
| 3 | 1639 | 346 |
| 4 | 4252 | 346 |
| 0 | 8361 | 346 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 x)) |
(* x x) |
(+ 1/9 (* x (* x 2/15))) |
1/9 |
(* x (* x 2/15)) |
(* 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)))) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(+ 1/5 (* (* x x) 1/7)) |
1/5 |
(* (* x x) 1/7) |
1/7 |
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1))) |
x |
(+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1)) |
(* x (* x 1/3)) |
(* x 1/3) |
1/3 |
(+ (* (* x x) (* (* x x) 1/5)) 1) |
(* (* x x) (* (* x x) 1/5)) |
(* x x) |
(* (* x x) 1/5) |
1/5 |
1 |
(+ (* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) x) |
(* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) |
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) |
(* x x) |
x |
(+ 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) |
1/7 |
| Outputs |
|---|
(* 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 x)) (*.f32 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 (*.f32 (*.f32 x x) #s(literal -1/7 binary32)) #s(literal -1/5 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 x)) (*.f32 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 (*.f32 (*.f32 x x) #s(literal -1/7 binary32)) #s(literal -1/5 binary32)))))))) |
(- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 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 x (*.f32 (*.f32 x x) (*.f32 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 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)) |
(* x 2/15) |
(*.f32 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 (*.f32 (*.f32 x x) #s(literal -1/7 binary32)) #s(literal -1/5 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 (*.f32 (*.f32 x x) #s(literal -1/7 binary32)) #s(literal -1/5 binary32))))))) |
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) |
(*.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 (+ 1/3 (* 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))))) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(*.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)) |
1/7 |
#s(literal 1/7 binary32) |
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1))) |
(*.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 |
(+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1)) |
(+.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 (* 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 x) (* (* x x) 1/5)) 1) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
(* (* x x) (* (* x x) 1/5)) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(* x x) |
(*.f32 x x) |
(* (* x x) 1/5) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
1/5 |
#s(literal 1/5 binary32) |
1 |
#s(literal 1 binary32) |
(+ (* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) x) |
(*.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))))))))) |
(* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) |
(*.f32 (*.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))))))) |
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) |
(*.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) |
(*.f32 x x) |
x |
(+ 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)) |
1/7 |
#s(literal 1/7 binary32) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
| ✓ | accuracy | 99.4% | (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
| ✓ | accuracy | 99.3% | (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
| ✓ | accuracy | 99.8% | (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x #s(literal 1/3 binary32))) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 x #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.5% | (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
| ✓ | accuracy | 99.3% | (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
| ✓ | accuracy | 99.0% | (*.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))))))) |
| ✓ | accuracy | 98.0% | (*.f32 x #s(literal 2/15 binary32)) |
| 125.0ms | 256× | 0 | valid |
Compiled 444 to 39 computations (91.2% saved)
ival-mult: 46.0ms (54.3% of total)ival-add: 17.0ms (20.1% of total)...c/correct-round.rkt:119:19: 16.0ms (18.9% of total)ival-sub: 3.0ms (3.5% of total)ival-div: 2.0ms (2.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<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 (* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1)))> |
#<alt (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1))> |
#<alt (* x (* x 1/3))> |
#<alt (* x 1/3)> |
#<alt (+ (* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) x)> |
#<alt (* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x)> |
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))> |
#<alt (* x x)> |
#<alt (* x 2/15)> |
#<alt (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))> |
#<alt (* (* x x) 1/7)> |
#<alt (* x (+ 1/5 (* (* x x) 1/7)))> |
#<alt (* (* x x) 1/5)> |
#<alt (* (* x x) (* (* x x) 1/5))> |
#<alt (* (* 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 (* 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 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 (* 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 (* (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 (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* (pow x 3) (+ 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))))))> |
#<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 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<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 (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 (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 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 x)> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 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 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* 1/5 (pow x 4))> |
#<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)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* 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))))))))))) |
| 0.0ms | x | @ | inf | (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) |
| 0.0ms | x | @ | inf | (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15)))) |
| 0.0ms | x | @ | -inf | (* x 2/15) |
| 0.0ms | x | @ | -inf | (* 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× | batch-egg-rewrite |
| 3910× | *-lowering-*.f32 |
| 3910× | *-lowering-*.f64 |
| 2674× | /-lowering-/.f32 |
| 2674× | /-lowering-/.f64 |
| 2496× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 252 |
| 1 | 267 | 215 |
| 2 | 2304 | 209 |
| 0 | 9155 | 209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1))) |
(+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1)) |
(* x (* x 1/3)) |
(* x 1/3) |
(+ (* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) x) |
(* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) |
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) |
(* x x) |
(* x 2/15) |
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) |
(* (* x x) 1/7) |
(* x (+ 1/5 (* (* x x) 1/7))) |
(* (* x x) 1/5) |
(* (* x x) (* (* x x) 1/5)) |
(* (* x x) (+ 1/5 (* (* x x) 1/7))) |
| Outputs |
|---|
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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))))))))) |
(/.f32 (*.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #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))))))))) |
(/.f32 (*.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal -1 binary32)) (neg.f32 (-.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)))))))))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (neg.f32 (-.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)))))))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal 1 binary32))) (neg.f32 (-.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)))))))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (-.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))))))))))) |
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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)))))))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (*.f32 (/.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))))))))) x)) |
(*.f32 (/.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))))))))) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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))))))))) (/.f32 x #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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))))))))) #s(literal 1 binary32)) |
(*.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 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 (*.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 (*.f32 x (/.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)))))))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) |
(*.f32 (*.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal 1 binary32)) (/.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)))))))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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 (+.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 1/3 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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.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))))))) (+.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))))))))))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.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 #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 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))))))))))) |
(*.f32 (/.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))))))))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) #s(literal 1 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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 (+.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 1/3 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 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 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 (*.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))))))) (+.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))))))))))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.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 #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 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 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 (*.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 (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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 (+.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 1/3 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.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))))))) (+.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))))))))))))) |
(*.f32 (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.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 #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 #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))))))))))) |
(*.f32 (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal -1 binary32)) (/.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)))))))))) |
(+.f32 (/.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))))))))) (*.f32 (/.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))))))))) (neg.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) |
(+.f32 (/.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))))))))) (*.f32 (neg.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 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 (*.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))))))))))) |
(pow.f32 (/.f32 (-.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)))))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.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))))))))) (*.f32 (/.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))))))))) (neg.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) |
(fma.f32 #s(literal 1 binary32) (/.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))))))))) (*.f32 (neg.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 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 (*.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))))))))))) |
(fma.f32 #s(literal 1 binary32) (/.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))))))))) (neg.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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))))))))))) |
(fma.f32 (/.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))))))))) #s(literal 1 binary32) (*.f32 (/.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))))))))) (neg.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) |
(fma.f32 (/.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))))))))) #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 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 (*.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))))))))))) |
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(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) |
(fma.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) x (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 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 (*.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 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (-.f32 (*.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 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (*.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 (*.f32 x (*.f32 x x)) (*.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 x (*.f32 x (*.f32 x x))) #s(literal 1/49 binary32)))) (+.f32 #s(literal 1/5 binary32) (*.f32 #s(literal -1/7 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.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 x (*.f32 x (*.f32 x x))) #s(literal 1/49 binary32))) (*.f32 x x)) (+.f32 #s(literal 1/5 binary32) (*.f32 #s(literal -1/7 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (neg.f32 (+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (-.f32 (*.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 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (*.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))))))) (neg.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32))))) (neg.f32 (+.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 (neg.f32 (*.f32 (*.f32 x x) (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/49 binary32))))) (neg.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 #s(literal -1/7 binary32) (*.f32 x x))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32))) (*.f32 x x))) (neg.f32 (+.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 (neg.f32 (*.f32 (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/49 binary32))) (*.f32 x x))) (neg.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 #s(literal -1/7 binary32) (*.f32 x x))))) |
(/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (+.f32 (*.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 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) #s(literal 1/5 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) |
| 1× | egg-herbie |
| 4104× | *-lowering-*.f32 |
| 4104× | *-lowering-*.f64 |
| 2520× | +-lowering-+.f64 |
| 2520× | +-lowering-+.f32 |
| 1282× | distribute-lft-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 1934 |
| 1 | 489 | 1834 |
| 2 | 1486 | 1794 |
| 3 | 4543 | 1773 |
| 0 | 8443 | 1773 |
| 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)))))))) |
(* 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))))) |
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)) |
(* 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 (* (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))))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* (pow x 3) (+ 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)))))) |
(* 1/7 (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 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* 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)))))) |
(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) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 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 x) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 3)) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* 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 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 1/5 (pow x 4)) |
(* 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))))) |
| 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 (*.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 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(* 14/15 x) |
(*.f32 x #s(literal 14/15 binary32)) |
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2))))) |
(+.f32 (*.f32 x #s(literal 14/15 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x))) |
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 (*.f32 x #s(literal 14/15 binary32)) (/.f32 (+.f32 #s(literal -119/225 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x x))) x)) |
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))) |
(+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 46907/16875 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x))) |
(* 14/15 x) |
(*.f32 x #s(literal 14/15 binary32)) |
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15))) |
(+.f32 (*.f32 x #s(literal 14/15 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x))) |
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(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) |
(* 1/7 (pow x 6)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (*.f32 x x)))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 1/7 (pow x 6)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (*.f32 x x)))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.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) |
(pow x 2) |
(*.f32 x x) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 2/15 x) |
(*.f32 x #s(literal 2/15 binary32)) |
(* 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (*.f32 x x)))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.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 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.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 (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* x (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* 1/7 (pow x 3)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* 1/7 (pow x 3)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x))) |
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x)))) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* 1/7 (pow x 4)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* 1/7 (pow x 4)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) |
Compiled 40326 to 2699 computations (93.3% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 878 | 3 | 881 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 7 | 7 |
| Total | 879 | 12 | 891 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
| ✓ | 98.9% | (+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
| ✓ | 99.4% | (+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
| 99.5% | (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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) | |
| 99.5% | (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (*.f32 (-.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)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))))))) | |
| ✓ | 99.3% | (*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
| ✓ | 99.4% | (*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)))) |
| ✓ | 99.3% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
| ✓ | 98.7% | (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
| 99.5% | (*.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 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (*.f32 x 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)))))))) | |
| ✓ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 97.0% | x |
Compiled 949 to 291 computations (69.3% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
(*.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))))))))) |
(+.f32 (*.f32 (*.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))))))) x) |
(+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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) |
(*.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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
(*.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 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (*.f32 x 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 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.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 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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 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 (*.f32 (*.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 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 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 (*.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)))))))) #s(literal 1 binary32))))) |
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (*.f32 (-.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)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 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))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32))))) |
4 calls:
| 46.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 8.0ms | x |
| 6.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 6.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) 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 #s(literal 1/3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
(*.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))))))))) |
(+.f32 (*.f32 (*.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))))))) x) |
(+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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) |
(*.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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
(*.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 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (*.f32 x 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 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.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 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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 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 (*.f32 (*.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 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 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 (*.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)))))))) #s(literal 1 binary32))))) |
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (*.f32 (-.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)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 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:
| 7.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 5.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 5.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.8% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.8% | 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 #s(literal 1/3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
(*.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))))))))) |
(+.f32 (*.f32 (*.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))))))) x) |
(+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 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) |
(*.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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
(*.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 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (*.f32 x 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 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.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 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 #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 (*.f32 x x) #s(literal 1/7 binary32)))))))))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 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 (*.f32 (*.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 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 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 (*.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)))))))) #s(literal 1 binary32))))) |
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (*.f32 (-.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)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))))))) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
(*.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))))))))) |
(+.f32 (*.f32 (*.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))))))) x) |
| Outputs |
|---|
(+.f32 (*.f32 (*.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))))))) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
(*.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))))))))) |
| Outputs |
|---|
(*.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 calls:
| 3.0ms | 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 #s(literal 1/3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))) |
| Outputs |
|---|
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
1 calls:
| 2.0ms | 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 #s(literal 1/3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
| Outputs |
|---|
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
1 calls:
| 2.0ms | 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 #s(literal 1/3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
1 calls:
| 24.0ms | 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 #s(literal 1/3 binary32) (*.f32 x x)))) |
| Outputs |
|---|
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 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 |
|---|---|---|
| 97.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 62× | *-commutative_binary32 |
| 38× | +-commutative_binary32 |
| 10× | sub-neg_binary32 |
| 6× | distribute-lft-neg-in_binary32 |
| 6× | neg-sub0_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 154 |
| 1 | 108 | 154 |
| 2 | 120 | 154 |
| 3 | 128 | 154 |
| 4 | 132 | 154 |
| 5 | 133 | 154 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
(+.f32 (*.f32 (*.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))))))) x) |
(*.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))))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x 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 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
x |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.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)))) #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (+.f32 x #s(literal 1 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(+.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x) x) |
(+.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) |
(+.f32 (*.f32 (*.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))))))) x) |
(+.f32 x (*.f32 (*.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 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))))))))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x) |
(+.f32 x (*.f32 x (*.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 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x) |
(+.f32 x (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32)))) |
(*.f32 x (+.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) #s(literal 1/3 binary32)))) |
x |
| 4778× | *-lowering-*.f32 |
| 4778× | *-lowering-*.f64 |
| 4002× | *-lowering-*.f32 |
| 4002× | *-lowering-*.f64 |
| 3232× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 300 |
| 1 | 257 | 242 |
| 2 | 2462 | 241 |
| 0 | 8401 | 241 |
| 0 | 10 | 28 |
| 1 | 50 | 28 |
| 2 | 417 | 28 |
| 3 | 6054 | 28 |
| 0 | 8241 | 28 |
| 0 | 106 | 394 |
| 1 | 331 | 359 |
| 2 | 991 | 349 |
| 3 | 2893 | 344 |
| 4 | 5281 | 344 |
| 0 | 8394 | 344 |
| 0 | 38 | 249 |
| 1 | 249 | 225 |
| 2 | 2506 | 220 |
| 0 | 8883 | 220 |
| 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 326 to 164 computations (49.7% saved)
Compiled 332 to 128 computations (61.4% saved)
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