
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 15 to 8 computations (46.7% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2.2s | 7798× | 1 | valid |
| 597.0ms | 7720× | 0 | unsamplable |
| 34.0ms | 458× | 0 | valid |
ival-exp: 1.3s (60.6% of total)ival-sub: 213.0ms (9.7% of total)ival-div: 210.0ms (9.6% of total)ival-add: 167.0ms (7.6% of total)ival-neg: 142.0ms (6.5% of total)backward-pass: 114.0ms (5.2% of total)const: 16.0ms (0.7% of total)| 2× | egg-herbie |
| 1626× | fnmadd-define |
| 1560× | sum3-define |
| 1378× | fma-define |
| 1216× | sum5-define |
| 904× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 1 | 46 | 39 |
| 2 | 102 | 39 |
| 3 | 242 | 39 |
| 4 | 678 | 39 |
| 5 | 1787 | 39 |
| 6 | 5421 | 39 |
| 7 | 5846 | 39 |
| 8 | 5903 | 39 |
| 9 | 5980 | 39 |
| 10 | 6050 | 39 |
| 11 | 6106 | 39 |
| 12 | 6130 | 39 |
| 0 | 7 | 13 |
| 1 | 19 | 13 |
| 2 | 37 | 13 |
| 3 | 65 | 13 |
| 4 | 133 | 13 |
| 5 | 339 | 13 |
| 6 | 802 | 13 |
| 7 | 1379 | 13 |
| 8 | 2618 | 13 |
| 9 | 3180 | 13 |
| 10 | 3407 | 13 |
| 11 | 3569 | 13 |
| 12 | 3686 | 13 |
| 0 | 3686 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))) |
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))) |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (recip (exp x))) (+ (exp x) (recip (exp x)))) |
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))) |
(/ (- (recip (exp x)) (exp x)) (+ (exp x) (recip (exp x)))) |
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))) |
(/ (- (exp x) (recip (exp x))) (+ (exp x) (recip (exp x)))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 243 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 7 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 2 | (317.8216653421482) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 133.0ms | 476× | 1 | valid |
| 4.0ms | 36× | 0 | valid |
Compiled 84 to 23 computations (72.6% saved)
ival-exp: 66.0ms (65.9% of total)backward-pass: 9.0ms (9% of total)ival-sub: 8.0ms (8% of total)ival-div: 7.0ms (7% of total)ival-add: 5.0ms (5% of total)ival-neg: 5.0ms (5% of total)const: 1.0ms (1% of total)Compiled 18 to 14 computations (22.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 9.6% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ▶ | 12.2% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
Compiled 32 to 21 computations (34.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | -64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 12416 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
| 1070× | fnmadd-define |
| 912× | sum3-define |
| 822× | fmsub-define |
| 814× | fnmsub-define |
| 778× | fma-define |
Useful iterations: 10 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 95 |
| 1 | 42 | 95 |
| 2 | 70 | 95 |
| 3 | 107 | 95 |
| 4 | 187 | 95 |
| 5 | 399 | 95 |
| 6 | 963 | 95 |
| 7 | 1492 | 95 |
| 8 | 2903 | 95 |
| 9 | 3626 | 95 |
| 10 | 3935 | 91 |
| 11 | 4172 | 91 |
| 12 | 4248 | 91 |
| 0 | 4248 | 91 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
(/ 1 (+ 1 (exp (* x -2)))) |
1 |
(+ 1 (exp (* x -2))) |
(exp (* x -2)) |
(* x -2) |
x |
-2 |
(/ 1 (- -1 (exp (* x 2)))) |
(- -1 (exp (* x 2))) |
-1 |
(exp (* x 2)) |
(* x 2) |
2 |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(exp x) |
x |
(exp (neg x)) |
(neg x) |
(+ (exp x) (exp (neg x))) |
| Outputs |
|---|
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/ 1 (+ 1 (exp (* x -2)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (exp (* x -2))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(exp (* x -2)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
x |
-2 |
#s(literal -2 binary64) |
(/ 1 (- -1 (exp (* x 2)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(- -1 (exp (* x 2))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(exp (* x 2)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 97.3% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | accuracy | 12.3% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 12.4% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
| 188.0ms | 241× | 1 | valid |
| 3.0ms | 15× | 0 | valid |
Compiled 99 to 21 computations (78.8% saved)
ival-exp: 65.0ms (47.7% of total)ival-div: 29.0ms (21.3% of total)backward-pass: 12.0ms (8.8% of total)ival-add: 11.0ms (8.1% of total)ival-mult: 8.0ms (5.9% of total)ival-sub: 7.0ms (5.1% of total)ival-neg: 2.0ms (1.5% of total)const: 1.0ms (0.7% of total)| Inputs |
|---|
#<alt (+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))> |
#<alt (/ 1 (+ 1 (exp (* x -2))))> |
#<alt (+ 1 (exp (* x -2)))> |
#<alt (exp (* x -2))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (exp x)> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (exp (neg x))> |
#<alt (/ 1 (- -1 (exp (* x 2))))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 x))> |
#<alt (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))> |
#<alt (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* x (- (* 2 x) 2)))> |
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))> |
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))> |
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))> |
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt -1/2> |
#<alt (- (* 1/2 x) 1/2)> |
#<alt (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)> |
#<alt (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
| 1.0ms | x | @ | 0 | (+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
| 1.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1× | batch-egg-rewrite |
| 4518× | /-lowering-/.f32 |
| 4518× | /-lowering-/.f64 |
| 3990× | *-lowering-*.f32 |
| 3990× | *-lowering-*.f64 |
| 1838× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 50 |
| 1 | 124 | 50 |
| 2 | 1284 | 50 |
| 0 | 8573 | 50 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
(/ 1 (+ 1 (exp (* x -2)))) |
(+ 1 (exp (* x -2))) |
(exp (* x -2)) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(exp x) |
(- (exp x) (exp (neg x))) |
(exp (neg x)) |
(/ 1 (- -1 (exp (* x 2)))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (cosh.f64 x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (neg.f64 (cosh.f64 x))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (tanh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (tanh.f64 x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)) (sinh.f64 x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 2440× | +-lowering-+.f64 |
| 2440× | +-lowering-+.f32 |
| 2340× | *-lowering-*.f32 |
| 2340× | *-lowering-*.f64 |
| 2156× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 814 |
| 1 | 336 | 776 |
| 2 | 872 | 764 |
| 3 | 2360 | 756 |
| 4 | 3961 | 756 |
| 5 | 7088 | 756 |
| 0 | 8095 | 756 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
1/2 |
(+ 1/2 (* 1/2 x)) |
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2))))) |
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
-1/2 |
(- (* 1/2 x) 1/2) |
(- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2) |
(- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/15 binary64)))))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 2 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))))))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 x) 1/2) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) #s(literal -1/2 binary64)) |
(- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/15 binary64))))))) #s(literal -1/2 binary64)) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
Compiled 12519 to 1359 computations (89.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 6 | 516 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 512 | 6 | 518 |
| Status | Accuracy | Program |
|---|---|---|
| 97.3% | (/.f64 (sinh.f64 x) (cosh.f64 x)) | |
| ▶ | 95.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ▶ | 95.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ▶ | 95.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ▶ | 100.0% | (tanh.f64 x) |
| ▶ | 95.4% | x |
Compiled 118 to 76 computations (35.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | cost-diff | 0 | (tanh.f64 x) |
| 2214× | fma-lowering-fma.f32 |
| 2214× | fma-lowering-fma.f64 |
| 2008× | fma-define |
| 1278× | *-lowering-*.f32 |
| 1278× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 199 |
| 1 | 101 | 178 |
| 2 | 312 | 172 |
| 3 | 849 | 172 |
| 4 | 1767 | 172 |
| 5 | 3024 | 172 |
| 6 | 3433 | 172 |
| 7 | 4370 | 172 |
| 8 | 5955 | 172 |
| 0 | 8057 | 172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(tanh x) |
x |
x |
(* x (+ 1 (* x (* x -1/3)))) |
x |
(+ 1 (* x (* x -1/3))) |
1 |
(* x (* x -1/3)) |
(* x -1/3) |
-1/3 |
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))) |
1 |
(* (* x x) (+ -1/3 (* (* x x) 2/15))) |
(* x x) |
(+ -1/3 (* (* x x) 2/15)) |
-1/3 |
(* (* x x) 2/15) |
2/15 |
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))) |
1 |
(* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))) |
(* x x) |
(+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) |
-1/3 |
(* x (* x (+ 2/15 (* (* x x) -17/315)))) |
(* x (+ 2/15 (* (* x x) -17/315))) |
(+ 2/15 (* (* x x) -17/315)) |
2/15 |
(* (* x x) -17/315) |
-17/315 |
| Outputs |
|---|
(tanh x) |
(tanh.f64 x) |
x |
x |
(* x (+ 1 (* x (* x -1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
x |
(+ 1 (* x (* x -1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x -1/3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* x -1/3) |
(*.f64 x #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/3 (* (* x x) 2/15))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ -1/3 (* (* x x) 2/15)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
-1/3 |
#s(literal -1/3 binary64) |
(* (* x x) 2/15) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
2/15 |
#s(literal 2/15 binary64) |
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(* x x) |
(*.f64 x x) |
(+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
-1/3 |
#s(literal -1/3 binary64) |
(* x (* x (+ 2/15 (* (* x x) -17/315)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* x (+ 2/15 (* (* x x) -17/315))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(+ 2/15 (* (* x x) -17/315)) |
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(* (* x x) -17/315) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
-17/315 |
#s(literal -17/315 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/3 binary64)) |
| ✓ | accuracy | 100.0% | (tanh.f64 x) |
| 84.0ms | 256× | 0 | valid |
Compiled 201 to 25 computations (87.6% saved)
ival-mult: 33.0ms (59.2% of total)...c/correct-round.rkt:119:19: 11.0ms (19.7% of total)ival-add: 9.0ms (16.1% of total)ival-tanh: 2.0ms (3.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (tanh x)> |
#<alt (* x (+ 1 (* x (* x -1/3))))> |
#<alt (+ 1 (* x (* x -1/3)))> |
#<alt (* x (* x -1/3))> |
#<alt (* x -1/3)> |
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))> |
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))> |
#<alt (* (* x x) (+ -1/3 (* (* x x) 2/15)))> |
#<alt (* x x)> |
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))))> |
#<alt (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))))> |
#<alt (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))> |
#<alt (* (* x x) 2/15)> |
#<alt (+ -1/3 (* (* x x) 2/15))> |
#<alt (* (* x x) -17/315)> |
#<alt (* x (* x (+ 2/15 (* (* x x) -17/315))))> |
#<alt (* x (+ 2/15 (* (* x x) -17/315)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (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 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -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) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt -1/3> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* -17/315 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* 2/15 x)> |
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* -17/315 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (tanh x) |
| 1.0ms | x | @ | inf | (tanh x) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* x (* x -1/3)))) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))) |
| 0.0ms | x | @ | 0 | (* x (+ 1 (* x (* x -1/3)))) |
| 1× | batch-egg-rewrite |
| 4050× | *-lowering-*.f32 |
| 4050× | *-lowering-*.f64 |
| 2964× | /-lowering-/.f32 |
| 2964× | /-lowering-/.f64 |
| 2210× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 162 |
| 1 | 173 | 144 |
| 2 | 1579 | 138 |
| 0 | 8776 | 138 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(tanh x) |
(* x (+ 1 (* x (* x -1/3)))) |
(+ 1 (* x (* x -1/3))) |
(* x (* x -1/3)) |
(* x -1/3) |
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))) |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))) |
(* (* x x) (+ -1/3 (* (* x x) 2/15))) |
(* x x) |
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))))) |
(+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))) |
(* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))) |
(* (* x x) 2/15) |
(+ -1/3 (* (* x x) 2/15)) |
(* (* x x) -17/315) |
(* x (* x (+ 2/15 (* (* x x) -17/315)))) |
(* x (+ 2/15 (* (* x x) -17/315))) |
| Outputs |
|---|
(-.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
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(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64) (*.f64 x #s(literal 2/15 binary64))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (-.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))))) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)))) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))) x) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) x) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 8/3375 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))))) (neg.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))) x)) (neg.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) x)) (neg.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 8/3375 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x #s(literal 2/15 binary64)))))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x) |
| 1× | egg-herbie |
| 4062× | *-lowering-*.f32 |
| 4062× | *-lowering-*.f64 |
| 2628× | +-lowering-+.f64 |
| 2628× | +-lowering-+.f32 |
| 1798× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1649 |
| 1 | 275 | 1567 |
| 2 | 801 | 1533 |
| 3 | 2756 | 1517 |
| 0 | 8640 | 1517 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (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 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -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) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* 2/15 x) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* -17/315 (pow x 3)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 3)) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(+ 1 (* -1/3 (pow x 2))) |
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(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* -17/315 (pow x 4)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* -17/315 (pow x 4)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -17/315 (pow x 3)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -17/315 (pow x 3)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
Compiled 22315 to 2068 computations (90.7% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 734 | 3 | 737 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 734 | 9 | 743 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.4% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| ▶ | 97.3% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ▶ | 95.6% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | 95.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | 95.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ✓ | 95.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ▶ | 6.0% | (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 95.4% | x |
Compiled 157 to 72 computations (54.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 2816 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| 2884× | *-lowering-*.f32 |
| 2884× | *-lowering-*.f64 |
| 2270× | fma-lowering-fma.f32 |
| 2270× | fma-lowering-fma.f64 |
| 1618× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 318 |
| 1 | 110 | 271 |
| 2 | 383 | 235 |
| 3 | 1846 | 232 |
| 4 | 5949 | 232 |
| 0 | 8352 | 232 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* 2/15 (* x (* x (* x x))))) |
x |
(* 2/15 (* x (* x (* x x)))) |
2/15 |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* x (+ (+ 1 (* -1/3 (* x x))) (* x (* x (* (* x x) 2/15))))) |
x |
(+ (+ 1 (* -1/3 (* x x))) (* x (* x (* (* x x) 2/15)))) |
(+ 1 (* -1/3 (* x x))) |
1 |
(* -1/3 (* x x)) |
-1/3 |
(* x x) |
(* x (* x (* (* x x) 2/15))) |
(* x (* (* x x) 2/15)) |
(* (* x x) 2/15) |
2/15 |
(/ (sinh x) (cosh x)) |
(sinh x) |
x |
(cosh x) |
(/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(* x x) |
x |
(* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
(* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
-1/3 |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(+ 2/15 (* (* x x) -17/315)) |
2/15 |
(* (* x x) -17/315) |
-17/315 |
(* x (* x x)) |
(- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
| Outputs |
|---|
(* x (* 2/15 (* x (* x (* x x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) |
x |
(* 2/15 (* x (* x (* x x)))) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
2/15 |
#s(literal 2/15 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* x (+ (+ 1 (* -1/3 (* x x))) (* x (* x (* (* x x) 2/15))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) |
x |
(+ (+ 1 (* -1/3 (* x x))) (* x (* x (* (* x x) 2/15)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))) |
(+ 1 (* -1/3 (* x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
1 |
#s(literal 1 binary64) |
(* -1/3 (* x x)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(* x x) |
(*.f64 x x) |
(* x (* x (* (* x x) 2/15))) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* x (* (* x x) 2/15)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) |
(* (* x x) 2/15) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
2/15 |
#s(literal 2/15 binary64) |
(/ (sinh x) (cosh x)) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh x) |
(sinh.f64 x) |
x |
(cosh x) |
(cosh.f64 x) |
(/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(* x x) |
(*.f64 x x) |
x |
(* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
(*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
-1/3 |
#s(literal -1/3 binary64) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(+ 2/15 (* (* x x) -17/315)) |
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(* (* x x) -17/315) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
-17/315 |
#s(literal -17/315 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
| ✓ | accuracy | 59.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 97.3% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| 91.0ms | 256× | 0 | valid |
Compiled 360 to 30 computations (91.7% saved)
ival-mult: 28.0ms (47.2% of total)...c/correct-round.rkt:119:19: 12.0ms (20.2% of total)ival-add: 7.0ms (11.8% of total)ival-div: 4.0ms (6.7% of total)ival-cosh: 3.0ms (5.1% of total)ival-sub: 2.0ms (3.4% of total)ival-sinh: 2.0ms (3.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* 2/15 (* x (* x (* x x)))))> |
#<alt (* 2/15 (* x (* x (* x x))))> |
#<alt (* x (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x (+ (+ 1 (* -1/3 (* x x))) (* x (* x (* (* x x) 2/15)))))> |
#<alt (+ (+ 1 (* -1/3 (* x x))) (* x (* x (* (* x x) 2/15))))> |
#<alt (+ 1 (* -1/3 (* x x)))> |
#<alt (* -1/3 (* x x))> |
#<alt (/ (sinh x) (cosh x))> |
#<alt (sinh x)> |
#<alt (cosh x)> |
#<alt (/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))))> |
#<alt (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))))> |
#<alt (* x x)> |
#<alt (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))> |
#<alt (* x (* (* x x) 2/15))> |
#<alt (* (* x x) 2/15)> |
#<alt (* x (* x (* (* x x) 2/15)))> |
#<alt (* (* x x) -17/315)> |
#<alt (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))> |
| Outputs |
|---|
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<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 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 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 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9))))> |
#<alt (* -289/99225 (pow x 14))> |
#<alt (* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))> |
#<alt (* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))> |
#<alt (* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))> |
#<alt (* -289/99225 (pow x 14))> |
#<alt (* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))> |
#<alt (* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))> |
#<alt (* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/9 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/9 (* -4/45 (pow x 2))))> |
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45))))> |
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))))> |
#<alt (* 289/99225 (pow x 14))> |
#<alt (* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))> |
#<alt (* 289/99225 (pow x 14))> |
#<alt (* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | (* x (* x x)) |
| 1.0ms | x | @ | inf | (/ (sinh x) (cosh x)) |
| 1.0ms | x | @ | -inf | (/ (sinh x) (cosh x)) |
| 1.0ms | x | @ | inf | (/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
| 1.0ms | x | @ | 0 | (* x (* 2/15 (* x (* x (* x x))))) |
| 1× | batch-egg-rewrite |
| 2758× | *-lowering-*.f32 |
| 2758× | *-lowering-*.f64 |
| 2752× | fma-lowering-fma.f32 |
| 2752× | fma-lowering-fma.f64 |
| 2136× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 200 |
| 1 | 201 | 156 |
| 2 | 1830 | 151 |
| 0 | 8379 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* 2/15 (* x (* x (* x x))))) |
(* 2/15 (* x (* x (* x x)))) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x (+ (+ 1 (* -1/3 (* x x))) (* x (* x (* (* x x) 2/15))))) |
(+ (+ 1 (* -1/3 (* x x))) (* x (* x (* (* x x) 2/15)))) |
(+ 1 (* -1/3 (* x x))) |
(* -1/3 (* x x)) |
(/ (sinh x) (cosh x)) |
(sinh x) |
(cosh x) |
(/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(* x x) |
(* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
(* x (* (* x x) 2/15)) |
(* (* x x) 2/15) |
(* x (* x (* (* x x) 2/15))) |
(* (* x x) -17/315) |
(* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))) x) |
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2/15 binary64)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))))) |
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(*.f64 (*.f64 x #s(literal -1/3 binary64)) x) |
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(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal -1 binary64))) |
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(neg.f64 (/.f64 (sinh.f64 x) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (cosh.f64 x))) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
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(/.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) |
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(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
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(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) |
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
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(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))) |
(sinh.f64 x) |
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
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(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(cosh.f64 x) |
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(*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) x) #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 3482× | *-lowering-*.f32 |
| 3482× | *-lowering-*.f64 |
| 2820× | +-lowering-+.f64 |
| 2820× | +-lowering-+.f32 |
| 1606× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 1857 |
| 1 | 533 | 1788 |
| 2 | 1589 | 1758 |
| 3 | 5298 | 1747 |
| 0 | 8195 | 1747 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 5)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(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 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 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 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/9 (pow x 4)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9)))) |
(* -289/99225 (pow x 14)) |
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225)) |
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4))))) |
(* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4))))) |
(* -289/99225 (pow x 14)) |
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225)) |
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4))))) |
(* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/9 (pow x 6)) |
(* (pow x 6) (+ 1/9 (* -4/45 (pow x 2)))) |
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45)))) |
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45)))) |
(* 289/99225 (pow x 14)) |
(* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2))))) |
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2))))) |
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))))) |
(* 289/99225 (pow x 14)) |
(* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2))))) |
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2))))) |
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))))) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 3)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* 2/15 (pow x 4)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
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(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal 289/99225 binary64) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))))) |
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -4/45 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 3)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 2/15 (pow x 4)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* -1/3 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) |
(* -17/315 (pow x 7)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -2/15 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -17/315 (pow x 7)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -2/15 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
Compiled 77853 to 2309 computations (97% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1135 | 2 | 1137 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 5 | 5 |
| Total | 1136 | 10 | 1146 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.8% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| ▶ | 54.6% | (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| ✓ | 97.3% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ✓ | 95.6% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | 95.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | 95.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ✓ | 95.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | 6.0% | (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 95.4% | x |
Compiled 177 to 88 computations (50.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| 3740× | *-lowering-*.f32 |
| 3740× | *-lowering-*.f64 |
| 1430× | fma-define |
| 1256× | fma-lowering-fma.f32 |
| 1256× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 323 |
| 1 | 71 | 292 |
| 2 | 331 | 276 |
| 3 | 1972 | 276 |
| 4 | 6364 | 276 |
| 0 | 8011 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x x) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(* x x) |
x |
(- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
(* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
-1/3 |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(+ 2/15 (* (* x x) -17/315)) |
2/15 |
(* (* x x) -17/315) |
-17/315 |
(* x (* x x)) |
(/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) |
(* x x) |
x |
(* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x))))) |
(* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
-1/3 |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(+ 2/15 (* (* x x) -17/315)) |
2/15 |
(* (* x x) -17/315) |
-17/315 |
(* x (* x x)) |
(* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))) |
(+ -1/3 (* 2/15 (* x x))) |
(* 2/15 (* x x)) |
(- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
| Outputs |
|---|
(/ (* x x) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(/.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64))) |
(* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
-1/3 |
#s(literal -1/3 binary64) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(+ 2/15 (* (* x x) -17/315)) |
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(* (* x x) -17/315) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
-17/315 |
#s(literal -17/315 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))) |
(- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal 1 binary64)) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
-1/3 |
#s(literal -1/3 binary64) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(+ 2/15 (* (* x x) -17/315)) |
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(* (* x x) -17/315) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
-17/315 |
#s(literal -17/315 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(+ -1/3 (* 2/15 (* x x))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* 2/15 (* x x)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64))) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
| ✓ | accuracy | 59.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
| ✓ | accuracy | 59.1% | (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| 69.0ms | 256× | 0 | valid |
Compiled 357 to 20 computations (94.4% saved)
ival-mult: 14.0ms (37.9% of total)...c/correct-round.rkt:119:19: 12.0ms (32.4% of total)ival-add: 4.0ms (10.8% of total)ival-sub: 3.0ms (8.1% of total)ival-div: 3.0ms (8.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* x x) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))))> |
#<alt (* x x)> |
#<alt (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))> |
#<alt (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))> |
#<alt (/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))))> |
#<alt (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x))))))> |
#<alt (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))> |
#<alt (* (* x x) -17/315)> |
#<alt (* x (* x x))> |
#<alt (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x))))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 11/45 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/45 (* -34/189 (pow x 2)))) 1/3))))> |
#<alt (/ 315/17 (pow x 5))> |
#<alt (/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 5))> |
#<alt (/ (- (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (/ 6615/4913 (pow x 4))) (pow x 5))> |
#<alt (/ (+ 315/17 (+ (* -1 (/ (+ 6615/4913 (* 52569405/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 13230/289 (/ 1 (pow x 2))))) (pow x 5))> |
#<alt (/ 315/17 (pow x 5))> |
#<alt (/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 5))> |
#<alt (* -1 (/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 5)))> |
#<alt (* -1 (/ (- (+ (* 52569405/83521 (/ 1 (pow x 6))) (/ 6615/4913 (pow x 4))) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 5)))> |
#<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 (* -2/15 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 17/315 (pow x 2)) 2/15))))))> |
#<alt (* 17/315 (pow x 7))> |
#<alt (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2)))))> |
#<alt (* 17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)))> |
#<alt (* -1 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 2/15 (/ 1 (pow x 2)))) 17/315)))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 2/15 (* -1 (/ (+ 1/3 (* 42/17 (/ 1 (pow x 4)))) (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (* 21/289 (/ 1 (pow x 8)))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) (+ 2/15 (* 21/289 (/ 1 (pow x 8)))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -169/4725 (pow x 2)))) 1/9))))> |
#<alt (* 34/4725 (pow x 12))> |
#<alt (* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6))))))> |
#<alt (* 34/4725 (pow x 12))> |
#<alt (* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6))))))> |
#<alt (* 1/9 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/9 (* -4/45 (pow x 2))))> |
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 169/4725 (pow x 2)) 4/45))))> |
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 169/4725 (* -34/4725 (pow x 2)))) 4/45))))> |
#<alt (* -34/4725 (pow x 12))> |
#<alt (* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725))> |
#<alt (* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4)))))> |
#<alt (* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4)))))> |
#<alt (* -34/4725 (pow x 12))> |
#<alt (* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725))> |
#<alt (* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4)))))> |
#<alt (* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4)))))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow 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 (* -1/3 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
| 0.0ms | x | @ | inf | (/ (* x x) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
| 0.0ms | x | @ | -inf | (/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
| 0.0ms | x | @ | -inf | (/ (* x x) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
| 0.0ms | x | @ | 0 | (/ (* x x) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
| 1× | batch-egg-rewrite |
| 3488× | *-lowering-*.f32 |
| 3488× | *-lowering-*.f64 |
| 2654× | /-lowering-/.f32 |
| 2654× | /-lowering-/.f64 |
| 2394× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 194 |
| 1 | 153 | 164 |
| 2 | 1500 | 161 |
| 0 | 8642 | 161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x x) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(* x x) |
(- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x)))) |
(* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) |
(/ (- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) (- x (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))))) |
(- (* x x) (* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))))) |
(* (* (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) (* x (* x x))) (* (* x (* x x)) (+ -1/3 (* 2/15 (* x x))))) |
(* (* x x) -17/315) |
(* x (* x x)) |
(* (* x (* x x)) (+ -1/3 (* 2/15 (* x x)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))))) |
(neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))))) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))))) |
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(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
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(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -17/315 binary64)) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
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(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x x)) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/15 binary64)) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
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(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) x) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) x) |
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) x) (*.f64 x x)) |
| 1× | egg-herbie |
| 3576× | *-lowering-*.f32 |
| 3576× | *-lowering-*.f64 |
| 2124× | +-lowering-+.f64 |
| 2124× | +-lowering-+.f32 |
| 1954× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1194 |
| 1 | 628 | 1149 |
| 2 | 1888 | 1120 |
| 3 | 6204 | 1118 |
| 0 | 8081 | 1118 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 11/45 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/45 (* -34/189 (pow x 2)))) 1/3)))) |
(/ 315/17 (pow x 5)) |
(/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (/ 6615/4913 (pow x 4))) (pow x 5)) |
(/ (+ 315/17 (+ (* -1 (/ (+ 6615/4913 (* 52569405/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 13230/289 (/ 1 (pow x 2))))) (pow x 5)) |
(/ 315/17 (pow x 5)) |
(/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 5)) |
(* -1 (/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 52569405/83521 (/ 1 (pow x 6))) (/ 6615/4913 (pow x 4))) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 5))) |
(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 (* -2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 17/315 (pow x 2)) 2/15)))))) |
(* 17/315 (pow x 7)) |
(* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2))))) |
(* 17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))) |
(* -1 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 2/15 (/ 1 (pow x 2)))) 17/315))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/15 (* -1 (/ (+ 1/3 (* 42/17 (/ 1 (pow x 4)))) (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (* 21/289 (/ 1 (pow x 8)))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) 2/15))) |
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) (+ 2/15 (* 21/289 (/ 1 (pow x 8))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/9 (pow x 4)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -169/4725 (pow x 2)))) 1/9)))) |
(* 34/4725 (pow x 12)) |
(* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))))) |
(* 34/4725 (pow x 12)) |
(* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))))) |
(* 1/9 (pow x 6)) |
(* (pow x 6) (+ 1/9 (* -4/45 (pow x 2)))) |
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 169/4725 (pow x 2)) 4/45)))) |
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 169/4725 (* -34/4725 (pow x 2)))) 4/45)))) |
(* -34/4725 (pow x 12)) |
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725)) |
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4))))) |
(* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4))))) |
(* -34/4725 (pow x 12)) |
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725)) |
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4))))) |
(* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4))))) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow 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) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (- (* 11/45 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 11/45 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/45 (* -34/189 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/45 binary64) (*.f64 (*.f64 x x) #s(literal -34/189 binary64)))))))) |
(/ 315/17 (pow x 5)) |
(/.f64 #s(literal 315/17 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 315/17 binary64) (/.f64 #s(literal 13230/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (/ 6615/4913 (pow x 4))) (pow x 5)) |
(/.f64 (+.f64 (+.f64 #s(literal 315/17 binary64) (/.f64 #s(literal 13230/289 binary64) (*.f64 x x))) (/.f64 #s(literal -6615/4913 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 315/17 (+ (* -1 (/ (+ 6615/4913 (* 52569405/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 13230/289 (/ 1 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 (+.f64 #s(literal 315/17 binary64) (/.f64 #s(literal 13230/289 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -6615/4913 binary64) (/.f64 #s(literal -52569405/83521 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(/ 315/17 (pow x 5)) |
(/.f64 #s(literal 315/17 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 315/17 binary64) (/.f64 #s(literal 13230/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (+.f64 #s(literal 315/17 binary64) (/.f64 #s(literal 13230/289 binary64) (*.f64 x x))) (/.f64 #s(literal -6615/4913 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (+ (* 52569405/83521 (/ 1 (pow x 6))) (/ 6615/4913 (pow x 4))) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 315/17 binary64) (/.f64 #s(literal 13230/289 binary64) (*.f64 x x))) (/.f64 #s(literal -6615/4913 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -52569405/83521 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/15 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 17/315 (pow x 2)) 2/15)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))) |
(* 17/315 (pow x 7)) |
(*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 7) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) |
(* 17/315 (pow x 7)) |
(*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 7) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 2/15 (/ 1 (pow x 2)))) 17/315))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal -17/315 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
(* -17/315 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal -17/315 binary64))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal -17/315 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal -17/315 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -17/315 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal -17/315 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal -17/315 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 2/15 (* -1 (/ (+ 1/3 (* 42/17 (/ 1 (pow x 4)))) (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -42/17 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (* 21/289 (/ 1 (pow x 8)))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 21/289 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal -42/17 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -42/17 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) (+ 2/15 (* 21/289 (/ 1 (pow x 8))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 21/289 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal -42/17 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/9 (pow x 4)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/9 binary64))))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/45 binary64)))))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -169/4725 (pow x 2)))) 1/9)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -169/4725 binary64)))))))) |
(* 34/4725 (pow x 12)) |
(*.f64 #s(literal 34/4725 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)))) |
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (-.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal 169/4725 binary64) (*.f64 x x))) (/.f64 #s(literal 4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 34/4725 binary64) (-.f64 (/.f64 #s(literal 4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 34/4725 (pow x 12)) |
(*.f64 #s(literal 34/4725 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)))) |
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (-.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal 169/4725 binary64) (*.f64 x x))) (/.f64 #s(literal 4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 34/4725 binary64) (-.f64 (/.f64 #s(literal 4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/9 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 6) (+ 1/9 (* -4/45 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x #s(literal -4/45 binary64))))) |
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 169/4725 (pow x 2)) 4/45)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) #s(literal 169/4725 binary64))))))) |
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 169/4725 (* -34/4725 (pow x 2)))) 4/45)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 169/4725 binary64) (*.f64 (*.f64 x x) #s(literal -34/4725 binary64))))))))) |
(* -34/4725 (pow x 12)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -34/4725 binary64)) |
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) #s(literal -34/4725 binary64))) |
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) #s(literal -34/4725 binary64)) (/.f64 #s(literal 4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -34/4725 binary64)) (/.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -34/4725 (pow x 12)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -34/4725 binary64)) |
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) #s(literal -34/4725 binary64))) |
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) #s(literal -34/4725 binary64)) (/.f64 #s(literal 4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -34/4725 binary64)) (/.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
Compiled 95133 to 2338 computations (97.5% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1013 | 3 | 1016 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 8 | 8 |
| Total | 1013 | 13 | 1026 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.8% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| 54.4% | (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -169/4725 binary64)))))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) | |
| ✓ | 54.6% | (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| 54.8% | (/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))) | |
| ✓ | 97.3% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| 54.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) | |
| ✓ | 95.6% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | 95.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | 95.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ✓ | 95.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | 6.0% | (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 95.4% | x |
Compiled 621 to 223 computations (64.1% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -169/4725 binary64)))))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(tanh.f64 x) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(tanh.f64 x) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -169/4725 binary64)))))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -57.5b remaining (-1966.5%)
Threshold costs -57.5b (-1966.5%)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))) |
| Outputs |
|---|
x |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 37 |
| 1 | 31 | 37 |
| 1× | saturated |
| Inputs |
|---|
(tanh.f64 x) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
x |
| Outputs |
|---|
(tanh.f64 x) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
x |
| 4518× | /-lowering-/.f32 |
| 4518× | /-lowering-/.f64 |
| 4050× | *-lowering-*.f32 |
| 4050× | *-lowering-*.f64 |
| 3990× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 50 |
| 1 | 124 | 50 |
| 2 | 1284 | 50 |
| 0 | 8573 | 50 |
| 0 | 24 | 162 |
| 1 | 173 | 144 |
| 2 | 1579 | 138 |
| 0 | 8776 | 138 |
| 0 | 117 | 814 |
| 1 | 336 | 776 |
| 2 | 872 | 764 |
| 3 | 2360 | 756 |
| 4 | 3961 | 756 |
| 5 | 7088 | 756 |
| 0 | 8095 | 756 |
| 0 | 7 | 13 |
| 1 | 19 | 13 |
| 2 | 37 | 13 |
| 3 | 65 | 13 |
| 4 | 133 | 13 |
| 5 | 339 | 13 |
| 6 | 802 | 13 |
| 7 | 1379 | 13 |
| 8 | 2618 | 13 |
| 9 | 3180 | 13 |
| 10 | 3407 | 13 |
| 11 | 3569 | 13 |
| 12 | 3686 | 13 |
| 0 | 3686 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 98 to 55 computations (43.9% saved)
(negabs x)
Compiled 110 to 52 computations (52.7% saved)
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