
Time bar (total: 12.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 15 to 9 computations (40% saved)
| 1.7s | 2 910× | 2 | valid |
| 1.0s | 4 821× | 1 | valid |
| 815.0ms | 8 108× | 0 | exit |
| 32.0ms | 525× | 0 | valid |
ival-exp: 1.9s (64.9% of total)ival-div: 343.0ms (11.6% of total)ival-add: 215.0ms (7.3% of total)adjust: 201.0ms (6.8% of total)ival-sub: 182.0ms (6.1% of total)ival-neg: 77.0ms (2.6% of total)ival-true: 13.0ms (0.4% of total)ival-assert: 8.0ms (0.3% of total)| 1× | egg-herbie |
| 528× | lower-fma.f64 |
| 528× | lower-fma.f32 |
| 336× | lower-*.f64 |
| 336× | lower-*.f32 |
| 320× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 32 | 27 |
| 2 | 80 | 26 |
| 3 | 199 | 26 |
| 4 | 468 | 26 |
| 5 | 1130 | 26 |
| 6 | 1547 | 26 |
| 7 | 1585 | 26 |
| 8 | 1604 | 26 |
| 9 | 1623 | 26 |
| 10 | 1657 | 26 |
| 11 | 1669 | 26 |
| 0 | 7 | 13 |
| 0 | 13 | 13 |
| 1 | 25 | 13 |
| 2 | 42 | 13 |
| 3 | 67 | 13 |
| 4 | 122 | 13 |
| 5 | 276 | 13 |
| 6 | 462 | 13 |
| 7 | 682 | 13 |
| 8 | 905 | 13 |
| 9 | 1058 | 13 |
| 10 | 1186 | 13 |
| 11 | 1233 | 13 |
| 0 | 1233 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 249 | 0 | - | 3 | (0.00611764214499798) | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 1 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 246 | 3 |
/.f64 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) | o/o | 1 | 0 |
| ↳ | (exp.f64 x) | overflow | 1 | |
| ↳ | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | overflow | 1 | |
| ↳ | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | overflow | 1 | |
| ↳ | (exp.f64 x) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 247 | 3 |
| - | 0 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 247 | 3 | 0 |
| - | 0 | 2 | 4 |
| number | freq |
|---|---|
| 0 | 9 |
| 1 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 235.0ms | 190× | 2 | valid |
| 49.0ms | 288× | 1 | valid |
| 2.0ms | 34× | 0 | valid |
Compiled 98 to 32 computations (67.3% saved)
ival-exp: 233.0ms (88.2% of total)adjust: 11.0ms (4.2% of total)ival-div: 7.0ms (2.6% of total)ival-add: 5.0ms (1.9% of total)ival-sub: 5.0ms (1.9% of total)ival-neg: 2.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 10.9% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 14 to 7 computations (50% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 11648 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 528× | lower-fma.f64 |
| 528× | lower-fma.f32 |
| 336× | lower-*.f64 |
| 336× | lower-*.f32 |
| 224× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 13 | 33 |
| 1 | 25 | 33 |
| 2 | 42 | 33 |
| 3 | 67 | 33 |
| 4 | 122 | 33 |
| 5 | 276 | 33 |
| 6 | 462 | 33 |
| 7 | 682 | 33 |
| 8 | 905 | 33 |
| 9 | 1058 | 33 |
| 10 | 1186 | 33 |
| 11 | 1233 | 33 |
| 0 | 1233 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | accuracy | 11.2% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 171.0ms | 95× | 2 | valid |
| 110.0ms | 144× | 1 | valid |
| 1.0ms | 17× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-sub: 133.0ms (49.2% of total)ival-exp: 124.0ms (45.9% of total)adjust: 5.0ms (1.9% of total)ival-div: 4.0ms (1.5% of total)ival-add: 3.0ms (1.1% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))> |
#<alt (exp.f64 x)> |
#<alt (exp.f64 (neg.f64 x))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))> |
| 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) (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 (* 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 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 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 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)))) |
| 0.0ms | x | @ | 0 | (- (exp x) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (+ (exp x) (exp (neg x))) |
| 1× | batch-egg-rewrite |
| 3 904× | lower-*.f64 |
| 3 904× | lower-*.f32 |
| 3 826× | lower-/.f32 |
| 3 824× | lower-/.f64 |
| 2 870× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 30 |
| 0 | 13 | 15 |
| 1 | 55 | 15 |
| 2 | 424 | 15 |
| 3 | 7080 | 15 |
| 0 | 8062 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)))) |
(+.f64 (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (*.f64 (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tanh.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (neg.f64 (tanh.f64 x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (/.f64 (tanh.f64 x) (tanh.f64 x))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (tanh.f64 x) (tanh.f64 x)))) |
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (cosh.f64 x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 12 890× | lower-fma.f64 |
| 12 890× | lower-fma.f32 |
| 4 156× | lower-*.f64 |
| 4 156× | lower-*.f32 |
| 2 544× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 425 |
| 1 | 259 | 424 |
| 2 | 604 | 414 |
| 3 | 1659 | 414 |
| 4 | 2630 | 414 |
| 5 | 4160 | 414 |
| 6 | 4872 | 414 |
| 7 | 6500 | 414 |
| 0 | 8123 | 386 |
| 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) (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)))) |
(* 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 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) |
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)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 x) |
(+.f64 x x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 17 810 to 1 744 computations (90.2% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 4 | 747 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 744 | 4 | 748 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ▶ | 97.7% | (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ▶ | 96.9% | (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
| ▶ | 100.0% | (tanh.f64 x) |
Compiled 45 to 26 computations (42.2% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2/15 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (tanh.f64 x) |
| 11 378× | lower-fma.f32 |
| 11 366× | lower-fma.f64 |
| 3 626× | lower-*.f32 |
| 3 614× | lower-*.f64 |
| 1 706× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 112 |
| 0 | 36 | 104 |
| 1 | 90 | 103 |
| 2 | 192 | 103 |
| 3 | 371 | 103 |
| 4 | 732 | 103 |
| 5 | 1150 | 103 |
| 6 | 1593 | 103 |
| 7 | 2171 | 103 |
| 8 | 3309 | 103 |
| 9 | 6021 | 103 |
| 0 | 8151 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(tanh.f64 x) |
x |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
x |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
x |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(*.f64 x #s(literal -17/315 binary64)) |
#s(literal -17/315 binary64) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(tanh.f64 x) |
x |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
x |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
x |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(*.f64 x #s(literal -17/315 binary64)) |
#s(literal -17/315 binary64) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal -17/315 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 2/15 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (tanh.f64 x) |
| 88.0ms | 256× | 0 | valid |
Compiled 125 to 25 computations (80% saved)
const: 48.0ms (63.4% of total)ival-mult: 19.0ms (25.1% of total)ival-add: 7.0ms (9.2% of total)ival-tanh: 2.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (tanh.f64 x)> |
#<alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)> |
#<alt (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))> |
#<alt (*.f64 x #s(literal 2/15 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)> |
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))> |
#<alt (*.f64 x #s(literal -17/315 binary64))> |
| 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 (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 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 -1/3> |
#<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 (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (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) (- (* (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 -1/3> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)> |
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)> |
#<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 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<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 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<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))))))> |
#<alt 2/15> |
#<alt (+ 2/15 (* -17/315 (pow x 2)))> |
#<alt (+ 2/15 (* -17/315 (pow x 2)))> |
#<alt (+ 2/15 (* -17/315 (pow x 2)))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
#<alt (* -17/315 x)> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* x 2/15) |
| 2.0ms | x | @ | inf | (tanh x) |
| 1.0ms | x | @ | -inf | (tanh x) |
| 1.0ms | x | @ | inf | (+ (* x (* -1/3 (* x x))) x) |
| 1.0ms | x | @ | -inf | (+ (* (+ (* x (* x (+ (* x (* x -17/315)) 2/15))) -1/3) (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 6 944× | lower-fma.f32 |
| 6 932× | lower-fma.f64 |
| 5 080× | lower-*.f32 |
| 5 068× | lower-*.f64 |
| 3 988× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 91 |
| 0 | 36 | 85 |
| 1 | 159 | 84 |
| 2 | 1119 | 84 |
| 0 | 8225 | 83 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(tanh.f64 x) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(*.f64 x #s(literal 2/15 binary64)) |
(*.f64 x (*.f64 x x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(*.f64 x #s(literal -17/315 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 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 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 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)))))) |
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 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))))) (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 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #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 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 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) (tanh.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 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)))) (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 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))) #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 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 24137569/976929722015625 binary64) #s(literal -64/11390625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal -8/3375 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 34/4725 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 24137569/976929722015625 binary64) #s(literal -64/11390625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 83521/9845600625 binary64) (+.f64 #s(literal 16/50625 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1156/22325625 binary64)))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 83521/9845600625 binary64) #s(literal -16/50625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))))) (neg.f64 (-.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (fma.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))) (*.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 34/4725 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) (*.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))) |
(*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) |
(*.f64 x #s(literal -17/315 binary64)) |
(*.f64 #s(literal -17/315 binary64) x) |
| 1× | egg-herbie |
| 8 044× | lower-fma.f64 |
| 8 044× | lower-fma.f32 |
| 3 434× | lower-*.f64 |
| 3 434× | lower-*.f32 |
| 1 428× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 1120 |
| 1 | 246 | 1084 |
| 2 | 694 | 1084 |
| 3 | 2252 | 1084 |
| 4 | 6307 | 1084 |
| 0 | 8316 | 1020 |
| 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))))) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 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)))))) |
-1/3 |
(- (* 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))))) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(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) (- (* (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)))))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3) |
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3) |
(* -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 (/ 1/3 (pow x 4))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -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 (/ 1/3 (pow x 4))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* 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)))))) |
2/15 |
(+ 2/15 (* -17/315 (pow x 2))) |
(+ 2/15 (* -17/315 (pow x 2))) |
(+ 2/15 (* -17/315 (pow x 2))) |
(* -17/315 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* -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)) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* -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))))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 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 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 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 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 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)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* -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 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #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))) (/ 1 (pow x 6))) (+ 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.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 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #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))) (/ 1 (pow x 6)))))) |
(*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* -17/315 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -17/315 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 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 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 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 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(+ 2/15 (* -17/315 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(+ 2/15 (* -17/315 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(+ 2/15 (* -17/315 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -17/315 binary64))) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
Compiled 19 539 to 1 431 computations (92.7% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 568 | 9 | 577 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 570 | 11 | 581 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.7% | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ▶ | 97.7% | (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x) |
| 97.7% | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x) | |
| ▶ | 97.7% | (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
| 97.7% | (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) x) | |
| 97.7% | (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) | |
| ▶ | 97.7% | (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
| 96.9% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) | |
| ▶ | 96.3% | (fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
| ▶ | 5.1% | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 100.0% | (tanh.f64 x) |
Compiled 428 to 217 computations (49.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2/15 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
| 7 784× | lower-fma.f32 |
| 7 770× | lower-fma.f64 |
| 3 386× | lower-*.f32 |
| 3 364× | lower-*.f64 |
| 1 996× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 332 |
| 0 | 60 | 290 |
| 1 | 144 | 272 |
| 2 | 365 | 263 |
| 3 | 672 | 261 |
| 4 | 1303 | 261 |
| 5 | 2412 | 261 |
| 6 | 5662 | 261 |
| 7 | 7679 | 261 |
| 0 | 8195 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) |
x |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
x |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
#s(literal 4/225 binary64) |
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x (*.f64 x x)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
#s(literal 8/3375 binary64) |
#s(literal -1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) |
#s(literal 1/9 binary64) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
#s(literal 4/225 binary64) |
(*.f64 (*.f64 x x) #s(literal 2/45 binary64)) |
#s(literal 2/45 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) |
x |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) x) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
x |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -4/225 binary64))) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4/225 binary64))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -4/225 binary64))) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4/225 binary64)))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(*.f64 x (*.f64 x #s(literal 4/225 binary64))) |
#s(literal 4/225 binary64) |
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x (*.f64 x x)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 8/3375 binary64)))) #s(literal -1/27 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 8/3375 binary64)))) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 8/3375 binary64)))) #s(literal -1/27 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 8/3375 binary64)))) |
#s(literal 8/3375 binary64) |
#s(literal -1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64))) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(*.f64 x (*.f64 x #s(literal 4/225 binary64))) |
#s(literal 4/225 binary64) |
(*.f64 (*.f64 x x) #s(literal 2/45 binary64)) |
#s(literal 2/45 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 2/45 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 2/15 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) |
| 83.0ms | 256× | 0 | valid |
Compiled 349 to 39 computations (88.8% saved)
ival-mult: 26.0ms (40.7% of total)const: 20.0ms (31.3% of total)ival-add: 13.0ms (20.4% of total)ival-div: 3.0ms (4.7% of total)ival-sub: 2.0ms (3.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)> |
#<alt (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))> |
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)> |
#<alt (*.f64 x (*.f64 x #s(literal 2/15 binary64)))> |
#<alt (*.f64 x #s(literal 2/15 binary64))> |
#<alt (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))))> |
#<alt (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))> |
#<alt (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)> |
#<alt (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))> |
#<alt (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))> |
#<alt (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)> |
#<alt (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))))> |
#<alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))> |
#<alt (*.f64 (*.f64 x x) #s(literal 4/225 binary64))> |
#<alt (*.f64 (*.f64 x x) #s(literal 2/45 binary64))> |
#<alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))> |
| 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) (- (* 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 (* -1/3 (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 (* -1/3 x)> |
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<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 (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 2/15 (pow x 4))))> |
#<alt (* x (+ 1 (* 2/15 (pow x 4))))> |
#<alt (* x (+ 1 (* 2/15 (pow x 4))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))> |
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))> |
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))> |
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))> |
#<alt (* (pow x 5) (+ 2/15 (/ 1 (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 (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt 1/9> |
#<alt (+ 1/9 (* -4/225 (pow x 4)))> |
#<alt (+ 1/9 (* -4/225 (pow x 4)))> |
#<alt (+ 1/9 (* -4/225 (pow x 4)))> |
#<alt (* -4/225 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))> |
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))> |
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))> |
#<alt (* -4/225 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))> |
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))> |
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))> |
#<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 (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -2/15 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 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) (- (* 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 -1/3> |
#<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 (* 2/45 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))> |
#<alt 1/9> |
#<alt (+ 1/9 (* 2/45 (pow x 2)))> |
#<alt (+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))> |
#<alt (+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 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) (- (* 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 -1/3> |
#<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 (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 4))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 4/225 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 2/45 (pow x 2))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
#<alt (* 8/3375 (pow x 3))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | -inf | (+ (* (* x (* x 2/15)) (* x (* x x))) x) |
| 3.0ms | x | @ | inf | (+ (* (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (+ 1/9 (+ (* (* x x) (* (* x x) 4/225)) (* (* x x) 2/45)))) (* x (* x x))) x) |
| 1.0ms | x | @ | inf | (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (+ 1/9 (+ (* (* x x) (* (* x x) 4/225)) (* (* x x) 2/45)))) |
| 1.0ms | x | @ | -inf | (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (+ 1/9 (+ (* (* x x) (* (* x x) 4/225)) (* (* x x) 2/45)))) |
| 1.0ms | x | @ | -inf | (+ (* (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (+ 1/9 (+ (* (* x x) (* (* x x) 4/225)) (* (* x x) 2/45)))) (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 6 892× | lower-fma.f32 |
| 6 878× | lower-fma.f64 |
| 5 200× | lower-*.f32 |
| 5 178× | lower-*.f64 |
| 4 974× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 260 |
| 0 | 60 | 204 |
| 1 | 273 | 185 |
| 2 | 2232 | 183 |
| 0 | 9005 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 x #s(literal 2/15 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) |
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2/45 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
| Outputs |
|---|
(+.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) x) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)))) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 4/225 binary64))) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) x) |
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(*.f64 (/.f64 (fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))) #s(literal 1/729 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/91125 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal 1/27 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))) #s(literal 1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))) #s(literal 1/729 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/91125 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))) #s(literal 1/729 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/91125 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))) #s(literal -1/729 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))) #s(literal 1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))) #s(literal -1/729 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64)))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4/225 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4/225 binary64))) |
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(*.f64 #s(literal 4/225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 4/225 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) (*.f64 (*.f64 x x) #s(literal -2/15 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64))) (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) #s(literal 2/15 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 2/15 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x #s(literal 2/15 binary64))) x) |
(*.f64 x (*.f64 x #s(literal 4/225 binary64))) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(*.f64 #s(literal 4/225 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 4/225 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/45 binary64)) |
(*.f64 #s(literal 2/45 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 2/45 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2/15 binary64))) #s(literal 3 binary64))) |
(pow.f64 (*.f64 x #s(literal 2/15 binary64)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 8/3375 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64)))) |
(*.f64 #s(literal 8/3375 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 (*.f64 #s(literal 8/3375 binary64) x) (*.f64 x x)) |
| 1× | egg-herbie |
| 9 150× | lower-fma.f64 |
| 9 150× | lower-fma.f32 |
| 3 356× | lower-*.f64 |
| 3 356× | lower-*.f32 |
| 1 578× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 1790 |
| 1 | 216 | 1772 |
| 2 | 539 | 1754 |
| 3 | 1533 | 1706 |
| 4 | 3037 | 1706 |
| 5 | 4830 | 1706 |
| 0 | 8168 | 1583 |
| 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) (- (* 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)))))) |
(* -1/3 (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))))) |
(* -1/3 x) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 3)) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
-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))))) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* 2/15 (pow x 4)))) |
(* x (+ 1 (* 2/15 (pow x 4)))) |
(* x (+ 1 (* 2/15 (pow x 4)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 2/15 (/ 1 (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)) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
1/9 |
(+ 1/9 (* -4/225 (pow x 4))) |
(+ 1/9 (* -4/225 (pow x 4))) |
(+ 1/9 (* -4/225 (pow x 4))) |
(* -4/225 (pow x 4)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(* -4/225 (pow x 4)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
-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)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -2/15 (pow x 2)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 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) (- (* 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)))))) |
-1/3 |
(- (* 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))))) |
(* 2/45 (pow x 2)) |
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))) |
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))) |
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))) |
(* 4/225 (pow x 4)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* 4/225 (pow x 4)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
1/9 |
(+ 1/9 (* 2/45 (pow x 2))) |
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))) |
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))) |
(* 4/225 (pow x 4)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(* 4/225 (pow x 4)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 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) (- (* 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)))))) |
-1/3 |
(- (* 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))))) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 4)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 4/225 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 2/45 (pow x 2)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
(* 8/3375 (pow x 3)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 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))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 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)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(* 2/15 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(* 2/15 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 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)) |
(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 (* 2/15 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* x (+ 1 (* 2/15 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* x (+ 1 (* 2/15 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -4/225 (pow x 4))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
(+ 1/9 (* -4/225 (pow x 4))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
(+ 1/9 (* -4/225 (pow x 4))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
(* -4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
(* -4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* -2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* -2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(* -2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/15 binary64))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(* -2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/15 binary64))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 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))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 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)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* 2/45 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 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))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 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)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 4/225 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4/225 binary64)) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/45 binary64))) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(* 8/3375 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
Compiled 56 390 to 3 013 computations (94.7% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 433 | 6 | 1 439 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 439 | 11 | 1 450 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.7% | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| ▶ | 98.0% | (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
| 97.7% | (fma.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)) x x) | |
| ✓ | 97.7% | (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
| ▶ | 96.9% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
| ▶ | 5.1% | (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
| ▶ | 5.1% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
| ▶ | 5.1% | (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
| 6.2% | (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ✓ | 5.1% | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 100.0% | (tanh.f64 x) |
Compiled 206 to 124 computations (39.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
| 1 448× | lower-fma.f32 |
| 1 444× | lower-fma.f64 |
| 1 032× | lower-*.f32 |
| 1 014× | lower-*.f64 |
| 290× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 119 |
| 0 | 34 | 105 |
| 1 | 64 | 105 |
| 2 | 108 | 105 |
| 3 | 159 | 105 |
| 4 | 209 | 105 |
| 5 | 245 | 105 |
| 6 | 469 | 105 |
| 7 | 1164 | 105 |
| 8 | 1537 | 105 |
| 9 | 1802 | 105 |
| 10 | 2104 | 105 |
| 11 | 2274 | 105 |
| 12 | 2315 | 105 |
| 13 | 2321 | 105 |
| 14 | 2321 | 105 |
| 15 | 2351 | 105 |
| 16 | 2355 | 105 |
| 17 | 2355 | 105 |
| 18 | 2357 | 105 |
| 0 | 2357 | 102 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
#s(literal 1/9 binary64) |
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
x |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x) |
(*.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -1/3 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))) x) |
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) |
#s(literal 1/9 binary64) |
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
x |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
x |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -1/3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 2/15 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
| 46.0ms | 256× | 0 | valid |
Compiled 123 to 22 computations (82.1% saved)
ival-mult: 18.0ms (54.8% of total)const: 9.0ms (27.4% of total)ival-add: 3.0ms (9.1% of total)ival-div: 2.0ms (6.1% of total)ival-sub: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))> |
#<alt (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)> |
#<alt (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))> |
#<alt (*.f64 x (*.f64 x #s(literal 2/15 binary64)))> |
#<alt (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))> |
#<alt (*.f64 x #s(literal -1/3 binary64))> |
#<alt (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)> |
#<alt (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)> |
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x #s(literal 2/15 binary64))> |
| Outputs |
|---|
#<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 (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -2/15 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 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 (* -4/75 (pow x 2)))) 1/3))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4))))> |
#<alt (* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))))))> |
#<alt -1/3> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3)> |
#<alt (- (* (pow x 2) (+ 2/15 (* (pow x 2) (- (* 8/375 (pow x 2)) 4/75)))) 1/3)> |
#<alt (/ -5/6 (pow x 2))> |
#<alt (/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2))> |
#<alt (/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))> |
#<alt (/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))> |
#<alt (/ -5/6 (pow x 2))> |
#<alt (/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2))> |
#<alt (/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))> |
#<alt (/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (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 2))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt 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 (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 (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | 0 | (- -1/3 (* x (* x 2/15))) |
| 0.0ms | x | @ | inf | (+ (* (/ 1/9 (- -1/3 (* x (* x 2/15)))) (* x (* x x))) x) |
| 0.0ms | x | @ | -inf | (* (* -1/3 (* x x)) x) |
| 0.0ms | x | @ | -inf | (* (* (* x -1/3) x) x) |
| 0.0ms | x | @ | inf | (* (* x x) (* x -1/3)) |
| 1× | batch-egg-rewrite |
| 10 912× | lower-fma.f32 |
| 10 908× | lower-fma.f64 |
| 6 258× | lower-*.f32 |
| 6 240× | lower-*.f64 |
| 3 148× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 90 |
| 0 | 34 | 78 |
| 1 | 108 | 78 |
| 2 | 653 | 77 |
| 0 | 8054 | 75 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x #s(literal 2/15 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/15 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) |
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) |
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
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(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x))) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) #s(literal 1/729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)) #s(literal -1 binary64)) |
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) (*.f64 (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x)))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x))) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) #s(literal 1/729 binary64)) (*.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))))))) (fma.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/81 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) |
(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 x (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x #s(literal 2/15 binary64)) |
(*.f64 #s(literal 2/15 binary64) x) |
| 1× | egg-herbie |
| 9 504× | lower-fma.f64 |
| 9 504× | lower-fma.f32 |
| 3 506× | lower-*.f64 |
| 3 506× | lower-*.f32 |
| 2 938× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 964 |
| 1 | 227 | 940 |
| 2 | 643 | 940 |
| 3 | 2148 | 928 |
| 4 | 7454 | 928 |
| 0 | 8531 | 892 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-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)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -2/15 (pow x 2)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 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 (* -4/75 (pow x 2)))) 1/3)))) |
(* 1/6 x) |
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2))))) |
(* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4)))) |
(* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4)))) |
(* 1/6 x) |
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2))))) |
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))))))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3) |
(- (* (pow x 2) (+ 2/15 (* (pow x 2) (- (* 8/375 (pow x 2)) 4/75)))) 1/3) |
(/ -5/6 (pow x 2)) |
(/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2)) |
(/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2)) |
(/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2)) |
(/ -5/6 (pow x 2)) |
(/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2)) |
(/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2)) |
(/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (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 2)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
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))))) |
(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) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- (* -2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(- (* -2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(- (* -2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(* -2/15 (pow x 2)) |
(*.f64 #s(literal -2/15 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(* -2/15 (pow x 2)) |
(*.f64 #s(literal -2/15 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2))))) |
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x)) |
(* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))) |
(* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4)))) |
(fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 125/24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 25/12 binary64) x))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2))))) |
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x)) |
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))) |
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))))))) |
(fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 125/24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 25/12 binary64) x))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (+ 2/15 (* (pow x 2) (- (* 8/375 (pow x 2)) 4/75)))) 1/3) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 8/375 binary64) #s(literal -4/75 binary64))) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(/ -5/6 (pow x 2)) |
(/.f64 #s(literal -5/6 binary64) (*.f64 x x)) |
(/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) #s(literal -5/6 binary64)) (*.f64 x x)) |
(/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) (+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
(/ -5/6 (pow x 2)) |
(/.f64 #s(literal -5/6 binary64) (*.f64 x x)) |
(/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) #s(literal -5/6 binary64)) (*.f64 x x)) |
(/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) (+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -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)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -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))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x 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)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
Compiled 19 893 to 1 352 computations (93.2% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 693 | 4 | 697 |
| Fresh | 2 | 0 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 700 | 8 | 708 |
| Status | Accuracy | Program |
|---|---|---|
| 97.7% | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| ✓ | 97.7% | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
| 98.0% | (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x) | |
| 22.1% | (fma.f64 (/.f64 #s(literal -5/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) x) | |
| ✓ | 97.7% | (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
| ✓ | 96.9% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
| 16.6% | (*.f64 x #s(literal 1/6 binary64)) | |
| ✓ | 100.0% | (tanh.f64 x) |
Compiled 458 to 147 computations (67.9% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal -5/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)) x x) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) x) |
(tanh.f64 x) |
(/.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:
| 9.0ms | x |
| 5.0ms | (/.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 |
|---|
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal -5/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)) x x) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) x) |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 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 |
|---|
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal -5/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) x) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 97.7% | 1 | x |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x) |
| Outputs |
|---|
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
2 calls:
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 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)
Total -7.4b remaining (-13.9%)
Threshold costs -7.4b (-13.9%)
| Inputs |
|---|
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
| Outputs |
|---|
(*.f64 x #s(literal 1/6 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.6% | 1 | x |
| 16.6% | 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)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 40 |
| 1 | 29 | 40 |
| 2 | 44 | 40 |
| 3 | 52 | 40 |
| 4 | 58 | 40 |
| 5 | 60 | 40 |
| 1× | saturated |
| Inputs |
|---|
(tanh.f64 x) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
| Outputs |
|---|
(tanh.f64 x) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x x) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
| 12 890× | lower-fma.f64 |
| 12 890× | lower-fma.f32 |
| 10 912× | lower-fma.f32 |
| 10 908× | lower-fma.f64 |
| 9 504× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 1790 |
| 1 | 216 | 1772 |
| 2 | 539 | 1754 |
| 3 | 1533 | 1706 |
| 4 | 3037 | 1706 |
| 5 | 4830 | 1706 |
| 0 | 8168 | 1583 |
| 0 | 90 | 425 |
| 1 | 259 | 424 |
| 2 | 604 | 414 |
| 3 | 1659 | 414 |
| 4 | 2630 | 414 |
| 5 | 4160 | 414 |
| 6 | 4872 | 414 |
| 7 | 6500 | 414 |
| 0 | 8123 | 386 |
| 0 | 87 | 964 |
| 1 | 227 | 940 |
| 2 | 643 | 940 |
| 3 | 2148 | 928 |
| 4 | 7454 | 928 |
| 0 | 8531 | 892 |
| 0 | 18 | 90 |
| 0 | 34 | 78 |
| 1 | 108 | 78 |
| 2 | 653 | 77 |
| 0 | 8054 | 75 |
| 0 | 7 | 30 |
| 0 | 13 | 15 |
| 1 | 55 | 15 |
| 2 | 424 | 15 |
| 3 | 7080 | 15 |
| 0 | 8062 | 15 |
| 0 | 17 | 91 |
| 0 | 36 | 85 |
| 1 | 159 | 84 |
| 2 | 1119 | 84 |
| 0 | 8225 | 83 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 215 to 119 computations (44.7% saved)
(negabs x)
Compiled 128 to 64 computations (50% saved)
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