
Time bar (total: 8.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 13 to 11 computations (15.4% saved)
| 2.9s | 5 733× | 2 | valid |
| 741.0ms | 2 315× | 1 | valid |
| 13.0ms | 208× | 0 | valid |
ival-exp: 2.3s (75.4% of total)adjust: 279.0ms (9.2% of total)ival-add: 159.0ms (5.3% of total)ival-sub: 122.0ms (4% of total)ival-neg: 83.0ms (2.7% of total)ival-fabs: 58.0ms (1.9% of total)ival-<=: 30.0ms (1% of total)exact: 9.0ms (0.3% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 121 | 0 | - | 0 | - | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (177.806835609455) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) | cancellation | 121 | 0 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 121 | 0 |
| - | 1 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 121 | 0 | 0 |
| - | 1 | 0 | 134 |
| number | freq |
|---|---|
| 0 | 134 |
| 1 | 122 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 137.0ms | 372× | 2 | valid |
| 57.0ms | 134× | 1 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 75 to 32 computations (57.3% saved)
ival-exp: 99.0ms (75.3% of total)adjust: 16.0ms (12.2% of total)ival-sub: 7.0ms (5.3% of total)ival-add: 6.0ms (4.6% of total)ival-neg: 2.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 31 | 17 |
| 2 | 81 | 16 |
| 3 | 187 | 16 |
| 4 | 319 | 16 |
| 5 | 405 | 16 |
| 6 | 435 | 16 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 24 | 8 |
| 2 | 40 | 8 |
| 3 | 63 | 8 |
| 4 | 102 | 8 |
| 5 | 168 | 8 |
| 6 | 274 | 8 |
| 7 | 342 | 8 |
| 8 | 400 | 8 |
| 9 | 402 | 8 |
| 0 | 402 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(abs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.4% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 8 to 7 computations (12.5% 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) #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 21 |
| 1 | 24 | 21 |
| 2 | 40 | 21 |
| 3 | 63 | 21 |
| 4 | 102 | 21 |
| 5 | 168 | 21 |
| 6 | 274 | 21 |
| 7 | 342 | 21 |
| 8 | 400 | 21 |
| 9 | 402 | 21 |
| 0 | 402 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 (neg.f64 x)) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.01171875 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 27.886374387169546 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 117.0ms | 186× | 2 | valid |
| 12.0ms | 67× | 1 | valid |
| 0.0ms | 3× | 0 | valid |
Compiled 44 to 16 computations (63.6% saved)
ival-exp: 87.0ms (74.5% of total)ival-sub: 17.0ms (14.6% of total)adjust: 8.0ms (6.9% of total)ival-add: 3.0ms (2.6% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (exp x) 2) |
(exp x) |
(exp (neg x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(exp (* -1 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
| 0.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
| 0.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 160 |
| 1 | 168 | 159 |
| 2 | 397 | 153 |
| 3 | 1060 | 153 |
| 4 | 1762 | 153 |
| 5 | 3034 | 153 |
| 6 | 3863 | 153 |
| 7 | 5255 | 153 |
| 8 | 6661 | 153 |
| 0 | 8428 | 132 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (exp x) 2) |
(exp x) |
(exp (neg x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(exp (* -1 x)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp x) |
(exp.f64 x) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 12 | 17 |
| 1 | 51 | 17 |
| 2 | 394 | 17 |
| 3 | 6874 | 15 |
| 0 | 8346 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)))) |
(*.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (exp.f64 x) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -2 binary64)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 x))))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))) |
(+.f64 #s(literal -2 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(exp.f64 (neg.f64 x)) |
Compiled 6 353 to 791 computations (87.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 3 | 256 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 254 | 3 | 257 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.4% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| ▶ | 99.3% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
| ▶ | 99.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 34 to 27 computations (20.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 60 |
| 0 | 24 | 60 |
| 1 | 41 | 60 |
| 2 | 63 | 60 |
| 3 | 96 | 54 |
| 4 | 141 | 54 |
| 5 | 240 | 54 |
| 6 | 487 | 54 |
| 7 | 1053 | 54 |
| 8 | 3456 | 54 |
| 9 | 7007 | 54 |
| 0 | 8189 | 54 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
x |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
x |
#s(literal -2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 27.886374387169546 | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.42933310301339295 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.5055113216657651 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
| 146.0ms | 186× | 2 | valid |
| 22.0ms | 67× | 1 | valid |
| 0.0ms | 3× | 0 | valid |
Compiled 111 to 37 computations (66.7% saved)
ival-exp: 51.0ms (35.9% of total)ival-cosh: 33.0ms (23.2% of total)adjust: 26.0ms (18.3% of total)ival-mult: 9.0ms (6.3% of total)ival-add: 8.0ms (5.6% of total)ival-sub: 4.0ms (2.8% of total)const: 4.0ms (2.8% of total)ival-pow: 3.0ms (2.1% of total)ival-neg: 3.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
(cosh.f64 x) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 4) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (* 2 (cosh x)) -2) (cosh x)) |
| 2.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (* 2 (cosh x)) -2) (cosh x)) |
| 1.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (* 2 (cosh x)) -2) (cosh x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 145 |
| 1 | 161 | 145 |
| 2 | 404 | 137 |
| 3 | 1010 | 137 |
| 4 | 1605 | 137 |
| 5 | 2522 | 137 |
| 6 | 5304 | 137 |
| 7 | 6847 | 137 |
| 0 | 8055 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 4) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 50 |
| 0 | 24 | 50 |
| 1 | 99 | 44 |
| 2 | 715 | 44 |
| 0 | 8518 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
(cosh.f64 x) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/12 binary64))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
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(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (+.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (+.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) |
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x)) |
(+.f64 (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(cosh.f64 x) |
Compiled 6 123 to 830 computations (86.4% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 2 | 250 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 249 | 4 | 253 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.4% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| ▶ | 55.8% | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
| ▶ | 99.3% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
| ✓ | 99.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 58 to 41 computations (29.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) | |
| cost-diff | -5824 | (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 125 |
| 0 | 35 | 125 |
| 1 | 69 | 125 |
| 2 | 123 | 125 |
| 3 | 277 | 123 |
| 4 | 657 | 123 |
| 5 | 1033 | 123 |
| 6 | 1300 | 123 |
| 7 | 1655 | 123 |
| 8 | 1942 | 123 |
| 9 | 2110 | 123 |
| 10 | 2199 | 123 |
| 11 | 2525 | 123 |
| 12 | 4274 | 123 |
| 13 | 5613 | 123 |
| 14 | 6153 | 123 |
| 15 | 6268 | 123 |
| 16 | 6271 | 123 |
| 17 | 6275 | 123 |
| 18 | 6317 | 123 |
| 19 | 6394 | 123 |
| 20 | 6394 | 123 |
| 21 | 6394 | 123 |
| 22 | 6940 | 123 |
| 23 | 7184 | 123 |
| 24 | 7184 | 123 |
| 25 | 7184 | 123 |
| 26 | 7194 | 123 |
| 0 | 7194 | 121 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal -2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 0.4193536607298147 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 27.886374387169546 | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.42933310301339295 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
| 184.0ms | 186× | 2 | valid |
| 26.0ms | 67× | 1 | valid |
| 6.0ms | 3× | 0 | valid |
Compiled 216 to 52 computations (75.9% saved)
ival-exp: 53.0ms (28% of total)const: 44.0ms (23.2% of total)ival-cosh: 30.0ms (15.8% of total)adjust: 21.0ms (11.1% of total)ival-add: 19.0ms (10% of total)ival-mult: 16.0ms (8.5% of total)ival-sub: 4.0ms (2.1% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (+ (* 1/12 (* x x)) 1) (* x x) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 1.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (+ (* 1/12 (* x x)) 1) (* x x) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 1.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (+ (* 1/12 (* x x)) 1) (* x x) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 283 |
| 1 | 238 | 283 |
| 2 | 594 | 275 |
| 3 | 1532 | 275 |
| 4 | 2614 | 275 |
| 5 | 4957 | 275 |
| 6 | 6112 | 275 |
| 7 | 7654 | 275 |
| 0 | 8150 | 246 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x (/.f64 #s(literal 1/2 binary64) x))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 112 |
| 0 | 35 | 112 |
| 1 | 160 | 110 |
| 2 | 1191 | 110 |
| 0 | 8565 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 x x)))))) |
(*.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 x x)))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))) |
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
Compiled 11 664 to 1 303 computations (88.8% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 2 | 302 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 2 | 2 |
| Total | 300 | 6 | 306 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.4% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| ✓ | 55.8% | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
| ▶ | 55.6% | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
| ✓ | 99.3% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
| ▶ | 56.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
| ✓ | 99.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 119 to 82 computations (31.1% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 215 |
| 0 | 46 | 215 |
| 1 | 81 | 215 |
| 2 | 124 | 215 |
| 3 | 204 | 215 |
| 4 | 256 | 215 |
| 5 | 326 | 215 |
| 6 | 506 | 215 |
| 7 | 709 | 215 |
| 8 | 899 | 215 |
| 9 | 992 | 215 |
| 10 | 998 | 215 |
| 0 | 998 | 208 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)) |
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
x |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))) |
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)) |
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)) |
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) |
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
x |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
#s(literal -2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.27734375 | (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) | |
| accuracy | 0.4193536607298147 | #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 27.886374387169546 | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) | |
| accuracy | 61.313530183818955 | #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.20703125 | (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) | |
| accuracy | 0.42933310301339295 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) | |
| accuracy | 61.35455125584869 | #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) |
| 179.0ms | 186× | 2 | valid |
| 30.0ms | 67× | 1 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 333 to 68 computations (79.6% saved)
ival-exp: 51.0ms (28.3% of total)ival-mult: 42.0ms (23.3% of total)ival-cosh: 30.0ms (16.6% of total)adjust: 23.0ms (12.7% of total)ival-add: 15.0ms (8.3% of total)const: 13.0ms (7.2% of total)ival-sub: 4.0ms (2.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)) |
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 x x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(* 1/12 (pow x 2)) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) (* 1/12 (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* (+ (* 1/720 (* x x)) 1/24) x)) |
| 2.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) (* 1/12 (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* (+ (* 1/720 (* x x)) 1/24) x)) |
| 1.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) (* 1/12 (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* (+ (* 1/720 (* x x)) 1/24) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 289 |
| 1 | 253 | 289 |
| 2 | 629 | 281 |
| 3 | 1614 | 281 |
| 4 | 4157 | 281 |
| 5 | 7173 | 281 |
| 0 | 8248 | 252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(* 1/12 (pow x 2)) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 188 |
| 0 | 46 | 188 |
| 1 | 172 | 186 |
| 2 | 1184 | 186 |
| 0 | 8117 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)) |
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 x x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x) |
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 x (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)) |
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/12 binary64) x) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64)))))) |
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(fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/24 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (*.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x)) |
(fma.f64 #s(literal 1/24 binary64) x (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/24 binary64))) |
(fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/24 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/24 binary64))) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
Compiled 9 281 to 776 computations (91.6% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 1 | 160 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 160 | 6 | 166 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.4% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
| ✓ | 55.8% | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
| 2.8% | (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(literal -2 binary64)) | |
| ✓ | 99.3% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
| ✓ | 56.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
| ✓ | 99.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 310 to 152 computations (51% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
Total -27.6b remaining (-5467.4%)
Threshold costs -27.6b (-5467.4%)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 31 |
| 1 | 25 | 31 |
| 2 | 41 | 31 |
| 3 | 73 | 31 |
| 4 | 142 | 31 |
| 5 | 314 | 31 |
| 6 | 743 | 31 |
| 7 | 1934 | 31 |
| 8 | 4154 | 31 |
| 9 | 7249 | 31 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 50 |
| 0 | 24 | 50 |
| 1 | 99 | 44 |
| 2 | 715 | 44 |
| 0 | 8518 | 44 |
| 0 | 60 | 160 |
| 1 | 168 | 159 |
| 2 | 397 | 153 |
| 3 | 1060 | 153 |
| 4 | 1762 | 153 |
| 5 | 3034 | 153 |
| 6 | 3863 | 153 |
| 7 | 5255 | 153 |
| 8 | 6661 | 153 |
| 0 | 8428 | 132 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 59 to 35 computations (40.7% saved)
(abs x)
Compiled 138 to 82 computations (40.6% saved)
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