exp2 (problem 3.3.7)
Time bar (total: 14.0s)
| 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)
| 4.3s | 5 617× | 2 | valid |
| 517.0ms | 2 418× | 1 | valid |
| 157.0ms | 221× | 0 | valid |
ival-exp: 3.3s (71.1% of total)ival-sub: 510.0ms (11% of total)adjust: 474.0ms (10.2% of total)ival-add: 139.0ms (3% of total)ival-fabs: 83.0ms (1.8% of total)ival-<=: 74.0ms (1.6% of total)ival-neg: 44.0ms (0.9% of total)exact: 11.0ms (0.2% of total)ival-assert: 4.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 1 | (-0.1120324218809439) | (+.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 | 0 | - | 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 | 126 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 1 |
| - | 0 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 1 | 0 |
| - | 0 | 0 | 129 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 281.0ms | 360× | 2 | valid |
| 56.0ms | 142× | 1 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 54 to 25 computations (53.7% saved)
ival-exp: 204.0ms (74.4% of total)adjust: 29.0ms (10.6% of total)ival-sub: 18.0ms (6.6% of total)ival-add: 16.0ms (5.8% of total)ival-neg: 4.0ms (1.5% of total)ival-true: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 33 | 17 |
| 2 | 78 | 17 |
| 3 | 291 | 17 |
| 4 | 1574 | 13 |
| 5 | 7555 | 13 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 25 | 8 |
| 2 | 57 | 8 |
| 3 | 181 | 8 |
| 4 | 800 | 6 |
| 5 | 7279 | 6 |
| 0 | 8679 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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 #s(literal 2 binary64) (cosh.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 |
|---|---|---|
| ▶ | 55.9% | (+.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 | 2 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 21 |
| 1 | 25 | 21 |
| 2 | 57 | 21 |
| 3 | 181 | 21 |
| 4 | 800 | 19 |
| 5 | 7279 | 19 |
| 0 | 8679 | 19 |
| 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) |
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 #s(literal 2 binary64) (cosh.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 | 0.0390625 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 28.258375024792503 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 141.0ms | 180× | 2 | valid |
| 23.0ms | 71× | 1 | valid |
| 1.0ms | 5× | 0 | valid |
Compiled 23 to 9 computations (60.9% saved)
ival-exp: 107.0ms (77.3% of total)adjust: 15.0ms (10.8% of total)ival-add: 7.0ms (5.1% of total)ival-sub: 7.0ms (5.1% of total)ival-neg: 2.0ms (1.4% 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))) |
| 1.0ms | 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 | 208 | 159 |
| 2 | 664 | 153 |
| 3 | 2594 | 153 |
| 4 | 7057 | 153 |
| 0 | 8435 | 136 |
| 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)))))) |
(*.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) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal 1 binary64))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 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 (-.f64 (*.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 (-.f64 (*.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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 12 | 17 |
| 1 | 52 | 17 |
| 2 | 423 | 15 |
| 3 | 7689 | 15 |
| 0 | 8101 | 15 |
| 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)) (-.f64 (*.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))) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (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 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (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 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.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 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.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 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.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 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.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)))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.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 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.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 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 (neg.f64 x)))) |
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(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) |
(exp.f64 (*.f64 x #s(literal -1 binary64))) |
(exp.f64 (neg.f64 x)) |
Compiled 7 696 to 928 computations (87.9% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 7 | 257 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 250 | 8 | 258 |
| Status | Accuracy | Program |
|---|---|---|
| 56.1% | (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) | |
| 56.1% | (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) | |
| ▶ | 55.8% | (/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
| ▶ | 55.8% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | 55.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 99.5% | #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))) |
| ▶ | 99.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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)) |
| ▶ | 99.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 280 to 169 computations (39.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (pow.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.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))) | |
| cost-diff | 0 | (/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) | |
| 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 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (cosh.f64 x)) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (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) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 196 |
| 0 | 57 | 196 |
| 1 | 102 | 196 |
| 2 | 309 | 196 |
| 3 | 1379 | 190 |
| 4 | 7239 | 190 |
| 0 | 8919 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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)) |
(*.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) |
(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) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
#s(literal 1/360 binary64) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
x |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
#s(literal 2 binary64) |
(cosh.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)) |
x |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
(/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(-.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))) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(-.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)) |
(*.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) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x) |
(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) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
#s(literal 1/360 binary64) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
x |
(-.f64 (*.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) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cosh.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))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)) x) x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)) x) x) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
(/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(/.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 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(-.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))) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(-.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 2 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) | |
| accuracy | 0.0390625 | (pow.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.0390625 | (/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) | |
| accuracy | 28.30141442725332 | (-.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))) | |
| 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 | 0.32370074172108787 | #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 #s(literal 2 binary64) (cosh.f64 x)) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 28.305136710914073 | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.6623497416646288 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) | |
| accuracy | 0.01171875 | (*.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) | |
| accuracy | 0.2216241751203156 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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)) |
| 332.0ms | 180× | 2 | valid |
| 41.0ms | 72× | 1 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 177 to 33 computations (81.4% saved)
ival-exp: 105.0ms (30.9% of total)adjust: 73.0ms (21.5% of total)ival-pow: 37.0ms (10.9% of total)ival-sub: 33.0ms (9.7% of total)ival-cosh: 30.0ms (8.8% of total)ival-mult: 17.0ms (5% of total)ival-add: 14.0ms (4.1% of total)ival-pow2: 13.0ms (3.8% of total)const: 11.0ms (3.2% of total)ival-div: 5.0ms (1.5% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
(*.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) |
(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) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(cosh.f64 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)) |
(/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(-.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))) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 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)))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(pow x 3) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
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))))))) |
(pow x 4) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 x))) |
(* (pow x 2) (+ 2 (* x (+ 2 (* 1/6 x))))) |
(* (pow x 2) (+ 2 (* x (+ 2 (* x (+ 1/6 (* 1/2 x))))))) |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1 (* x (+ 2 (* -2/3 (pow x 2))))) |
(+ 1 (* x (+ 2 (* (pow x 2) (- (* 1/2 x) 2/3))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(/ (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (- (+ 2 (exp x)) (exp (neg x)))) |
(- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) |
(pow (exp x) 2) |
(exp x) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(pow (- 2 (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(/ (- (pow (exp x) 2) (pow (- 2 (exp (* -1 x))) 2)) (- (+ 2 (exp x)) (exp (* -1 x)))) |
(- (pow (exp x) 2) (pow (- 2 (exp (* -1 x))) 2)) |
(pow (- 2 (exp (* -1 x))) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (- (+ 2 (exp x)) (exp (neg x)))) (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (pow (exp x) 2) (exp x) (+ (* 1/360 (* x x)) 1/12) (pow (- 2 (exp (neg x))) 2)) |
| 5.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (- (+ 2 (exp x)) (exp (neg x)))) (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (pow (exp x) 2) (exp x) (+ (* 1/360 (* x x)) 1/12) (pow (- 2 (exp (neg x))) 2)) |
| 3.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (- (+ 2 (exp x)) (exp (neg x)))) (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (pow (exp x) 2) (exp x) (+ (* 1/360 (* x x)) 1/12) (pow (- 2 (exp (neg x))) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 530 |
| 1 | 536 | 518 |
| 2 | 1816 | 515 |
| 3 | 5904 | 515 |
| 0 | 8166 | 471 |
| 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)))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(pow x 3) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
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))))))) |
(pow x 4) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 x))) |
(* (pow x 2) (+ 2 (* x (+ 2 (* 1/6 x))))) |
(* (pow x 2) (+ 2 (* x (+ 2 (* x (+ 1/6 (* 1/2 x))))))) |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1 (* x (+ 2 (* -2/3 (pow x 2))))) |
(+ 1 (* x (+ 2 (* (pow x 2) (- (* 1/2 x) 2/3))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(/ (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (- (+ 2 (exp x)) (exp (neg x)))) |
(- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) |
(pow (exp x) 2) |
(exp x) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(pow (- 2 (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(/ (- (pow (exp x) 2) (pow (- 2 (exp (* -1 x))) 2)) (- (+ 2 (exp x)) (exp (* -1 x)))) |
(- (pow (exp x) 2) (pow (- 2 (exp (* -1 x))) 2)) |
(pow (- 2 (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)))))))) |
(fma.f64 (pow.f64 x #s(literal 4 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)) (*.f64 x x)) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(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) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 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 (*.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)) x) x #s(literal 1 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* x (+ 2 (* 1/6 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* x (+ 2 (* x (+ 1/6 (* 1/2 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/6 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x) x) |
(+ 1 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 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)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1 (* x (+ 2 (* -2/3 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* (pow x 2) (- (* 1/2 x) 2/3))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/360 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(+ (exp x) (/ 1 (exp x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(* 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))) |
(* 1/12 (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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/ (- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) (- (+ 2 (exp x)) (exp (neg x)))) |
(/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(- (pow (exp x) 2) (pow (- 2 (exp (neg x))) 2)) |
(-.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))) |
(pow (exp x) 2) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp x) |
(exp.f64 x) |
(* 1/360 (pow x 2)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(pow (- 2 (exp (neg x))) 2) |
(pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1/360 binary64))) |
(/ (- (pow (exp x) 2) (pow (- 2 (exp (* -1 x))) 2)) (- (+ 2 (exp x)) (exp (* -1 x)))) |
(/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(- (pow (exp x) 2) (pow (- 2 (exp (* -1 x))) 2)) |
(-.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))) |
(pow (- 2 (exp (* -1 x))) 2) |
(pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 156 |
| 0 | 57 | 141 |
| 1 | 239 | 135 |
| 2 | 1955 | 135 |
| 0 | 8408 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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)) |
(*.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) |
(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) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(cosh.f64 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)) |
(/.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(-.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))) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) x)) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
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(pow.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))) (neg.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (neg.f64 (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (fabs.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (fabs.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (fabs.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))) (fabs.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))) (fabs.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (fabs.f64 (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) |
Compiled 18 472 to 2 465 computations (86.7% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 635 | 5 | 640 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 638 | 10 | 648 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.9% | (fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
| 56.1% | (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) | |
| 56.1% | (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) | |
| ✓ | 55.8% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ▶ | 55.4% | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| ▶ | 54.2% | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| ✓ | 55.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 99.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
| ▶ | 99.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| ✓ | 99.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 308 to 181 computations (41.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (exp.f64 x)) | |
| cost-diff | 6 | (fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #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 | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 236 |
| 0 | 60 | 232 |
| 1 | 126 | 223 |
| 2 | 406 | 217 |
| 3 | 1714 | 211 |
| 4 | 6009 | 211 |
| 0 | 8715 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/12 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #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 #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 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(sqrt.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
(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) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 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)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/12 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 #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 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.01953125 | (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (sqrt.f64 (exp.f64 x)) | |
| accuracy | 28.053563936743284 | (fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.2569528405366553 | #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 28.305136710914073 | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #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 | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.32370074172108787 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) | |
| accuracy | 0.7145499701515248 | #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) | |
| accuracy | 28.305136710914073 | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) | |
| accuracy | 0.1640625 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) | |
| accuracy | 0.2216241751203156 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| 242.0ms | 180× | 2 | valid |
| 40.0ms | 72× | 1 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 180 to 35 computations (80.6% saved)
ival-exp: 84.0ms (35% of total)ival-mult: 35.0ms (14.6% of total)ival-cosh: 34.0ms (14.2% of total)adjust: 30.0ms (12.5% of total)ival-sub: 18.0ms (7.5% of total)ival-add: 16.0ms (6.7% of total)const: 14.0ms (5.8% of total)ival-sqrt: 6.0ms (2.5% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #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 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(sqrt.f64 (exp.f64 x)) |
(exp.f64 x) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(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)))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(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))))))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x)))))) |
(+ 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)) 1) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(sqrt (exp x)) |
(exp x) |
(- (exp (neg x)) 2) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (exp (* -1 x)) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (sqrt (exp x)) (sqrt (exp x))) (- (exp (neg x)) 2)) (sqrt (exp x)) (exp x) (- (exp (neg x)) 2) (+ (* (* x x) 1/360) 1/12)) |
| 3.0ms | x | @ | inf | ((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (sqrt (exp x)) (sqrt (exp x))) (- (exp (neg x)) 2)) (sqrt (exp x)) (exp x) (- (exp (neg x)) 2) (+ (* (* x x) 1/360) 1/12)) |
| 2.0ms | x | @ | 0 | ((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (sqrt (exp x)) (sqrt (exp x))) (- (exp (neg x)) 2)) (sqrt (exp x)) (exp x) (- (exp (neg x)) 2) (+ (* (* x x) 1/360) 1/12)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 478 |
| 1 | 466 | 478 |
| 2 | 1475 | 459 |
| 3 | 5852 | 459 |
| 0 | 8159 | 422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(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)))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(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))))))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x)))))) |
(+ 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)) 1) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(sqrt (exp x)) |
(exp x) |
(- (exp (neg x)) 2) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (exp (* -1 x)) 2) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(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) |
(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)))))) |
(*.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) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))) |
(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 (*.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)) x) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 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 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(- (* x (- (* 1/2 x) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x)))) |
(* 1/360 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(+ (exp x) (/ 1 (exp x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(* 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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 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))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(sqrt (exp x)) |
(sqrt.f64 (exp.f64 x)) |
(exp x) |
(exp.f64 x) |
(- (exp (neg x)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(- (exp (* -1 x)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 206 |
| 0 | 60 | 194 |
| 1 | 259 | 181 |
| 2 | 2060 | 181 |
| 0 | 8440 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #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 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(sqrt.f64 (exp.f64 x)) |
(exp.f64 x) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 x x) x) |
(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) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) x x) |
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) x) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) x)) |
(-.f64 x (*.f64 (neg.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) |
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #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)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(*.f64 x (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)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) x)) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x)) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
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(+.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))) (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(neg.f64 (exp.f64 x)) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 (neg.f64 (neg.f64 x)))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 (neg.f64 x)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) |
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 (neg.f64 x)))) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(exp.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (neg.f64 x))) |
(exp.f64 x) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (exp.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (exp.f64 x)))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal 8 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64))) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (exp.f64 x)))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (exp.f64 x)))) (/.f64 #s(literal 8 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) (*.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) #s(literal 1/1728 binary64))) (*.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x #s(literal 1/12 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) x #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) #s(literal 1/12 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/360 binary64) x) #s(literal 1/12 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))) |
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64))) |
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/360 binary64) x))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
Compiled 22 481 to 2 865 computations (87.3% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 803 | 2 | 805 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 804 | 11 | 815 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.1% | (fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
| ▶ | 56.1% | (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
| ▶ | 56.1% | (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) |
| ✓ | 55.8% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | 55.4% | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| ✓ | 54.2% | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| ✓ | 55.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | 99.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
| ✓ | 99.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| ▶ | 99.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| ✓ | 99.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 195 to 123 computations (36.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (exp.f64 x)) | |
| cost-diff | 1 | (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 4 | (fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 (exp.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) | |
| cost-diff | 4 | (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) | |
| cost-diff | 6 | (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) | |
| cost-diff | 3 | (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) | |
| cost-diff | 3 | (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) | |
| cost-diff | 4 | (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 313 |
| 0 | 64 | 312 |
| 1 | 125 | 292 |
| 2 | 390 | 284 |
| 3 | 1792 | 272 |
| 0 | 8495 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
(*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) |
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 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 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 3 binary64)) |
(exp.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 3 binary64)) |
(exp.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(sqrt.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
(exp.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(fma.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) |
(*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x) |
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) |
(+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 (neg.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 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(fma.f64 (/.f64 (exp.f64 x) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(fma.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 6 binary64)) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 3 binary64)) |
(exp.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 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)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
(+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 (neg.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(fma.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 6 binary64)) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 3 binary64)) |
(exp.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 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)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) |
(*.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(sqrt.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
(exp.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sqrt.f64 (exp.f64 x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.01953125 | (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (sqrt.f64 (exp.f64 x)) | |
| accuracy | 28.053563936743284 | (fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| accuracy | 0.045253759768442016 | (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) | |
| accuracy | 0.046875 | (pow.f64 (exp.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.1640625 | (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) | |
| accuracy | 28.18710283736446 | (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) | |
| accuracy | 0.02734375 | (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) | |
| accuracy | 0.046875 | (pow.f64 (exp.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.1640625 | (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) | |
| accuracy | 28.18710283736446 | (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) | |
| accuracy | 0.1640625 | (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) | |
| accuracy | 0.2216241751203156 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) | |
| accuracy | 0.6195228769937207 | #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) |
| 415.0ms | 180× | 2 | valid |
| 81.0ms | 71× | 1 | valid |
| 1.0ms | 5× | 0 | valid |
Compiled 307 to 39 computations (87.3% saved)
ival-mult: 123.0ms (27% of total)ival-exp: 121.0ms (26.6% of total)ival-add: 75.0ms (16.5% of total)adjust: 54.0ms (11.9% of total)ival-sub: 41.0ms (9% of total)ival-div: 13.0ms (2.9% of total)const: 11.0ms (2.4% of total)ival-pow: 8.0ms (1.8% of total)ival-sqrt: 6.0ms (1.3% of total)exact: 1.0ms (0.2% of total)ival-neg: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 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 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal 3 binary64)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sqrt.f64 (exp.f64 x)) |
(exp.f64 x) |
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(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)))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 7 (pow x 2)) |
(* (pow x 2) (+ 7 (* 11 x))) |
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x))))) |
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x))))))) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x))))) |
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x))))))) |
-7 |
(- (* 3 x) 7) |
(- (* x (+ 3 (* 9/2 x))) 7) |
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 (* 9/2 x)))) |
(+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x)))))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
7 |
(+ 7 (* 11 x)) |
(+ 7 (* x (+ 11 (* 21/2 x)))) |
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x)))))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* 1/2 x) 1)) 1) |
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) |
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) |
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) (+ 4 (* (exp x) (+ 2 (exp x))))) |
(- (pow (exp x) 3) 8) |
(pow (exp x) 3) |
(- (+ (exp (neg x)) (* (sqrt (exp x)) (exp (* 1/2 x)))) 2) |
(exp (* 1/2 x)) |
(sqrt (exp x)) |
(exp x) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) |
(- (exp (neg x)) 2) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp (* -1 x)) (* (sqrt (exp x)) (exp (* 1/2 x)))) 2) |
(- (exp (* -1 x)) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | 0 | ((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (/ (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (exp x)) (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (- (pow (exp x) 3) 8) (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (* (+ (* (+ 2 (exp x)) (exp x)) 4) (exp x))) (pow (exp x) 3) (+ (* (sqrt (exp x)) (exp (* 1/2 x))) (- (exp (neg x)) 2)) (exp (* 1/2 x)) (sqrt (exp x)) (exp x) (+ (* (* x x) 1/360) 1/12) (* (+ (* (+ 2 (exp x)) (exp x)) 4) (exp x)) (- (exp (neg x)) 2)) |
| 8.0ms | x | @ | inf | ((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (/ (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (exp x)) (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (- (pow (exp x) 3) 8) (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (* (+ (* (+ 2 (exp x)) (exp x)) 4) (exp x))) (pow (exp x) 3) (+ (* (sqrt (exp x)) (exp (* 1/2 x))) (- (exp (neg x)) 2)) (exp (* 1/2 x)) (sqrt (exp x)) (exp x) (+ (* (* x x) 1/360) 1/12) (* (+ (* (+ 2 (exp x)) (exp x)) 4) (exp x)) (- (exp (neg x)) 2)) |
| 7.0ms | x | @ | -inf | ((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (/ (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (exp x)) (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (- (pow (exp x) 3) 8) (/ (+ (* (- (pow (exp x) 3) 8) (exp x)) (+ (* (+ 2 (exp x)) (exp x)) 4)) (* (+ (* (+ 2 (exp x)) (exp x)) 4) (exp x))) (pow (exp x) 3) (+ (* (sqrt (exp x)) (exp (* 1/2 x))) (- (exp (neg x)) 2)) (exp (* 1/2 x)) (sqrt (exp x)) (exp x) (+ (* (* x x) 1/360) 1/12) (* (+ (* (+ 2 (exp x)) (exp x)) 4) (exp x)) (- (exp (neg x)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 615 |
| 1 | 678 | 607 |
| 2 | 2311 | 590 |
| 3 | 7910 | 588 |
| 0 | 8001 | 531 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(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)))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 7 (pow x 2)) |
(* (pow x 2) (+ 7 (* 11 x))) |
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x))))) |
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x))))))) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x))))) |
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x))))))) |
-7 |
(- (* 3 x) 7) |
(- (* x (+ 3 (* 9/2 x))) 7) |
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 (* 9/2 x)))) |
(+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x)))))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
7 |
(+ 7 (* 11 x)) |
(+ 7 (* x (+ 11 (* 21/2 x)))) |
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x)))))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* 1/2 x) 1)) 1) |
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) |
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) |
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) (+ 4 (* (exp x) (+ 2 (exp x))))) |
(- (pow (exp x) 3) 8) |
(pow (exp x) 3) |
(- (+ (exp (neg x)) (* (sqrt (exp x)) (exp (* 1/2 x)))) 2) |
(exp (* 1/2 x)) |
(sqrt (exp x)) |
(exp x) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) |
(- (exp (neg x)) 2) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp (* -1 x)) (* (sqrt (exp x)) (exp (* 1/2 x)))) 2) |
(- (exp (* -1 x)) 2) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) |
(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)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #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)))))))) |
(fma.f64 (pow.f64 x #s(literal 4 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)) (*.f64 x x)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) |
(* 7 (pow x 2)) |
(*.f64 #s(literal 7 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 7 (* 11 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 11 binary64) x #s(literal 7 binary64)) x) x) |
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 133/12 binary64) x #s(literal 11 binary64)) x #s(literal 7 binary64)) x) x) |
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 35/4 binary64) x #s(literal 133/12 binary64)) x #s(literal 11 binary64)) x #s(literal 7 binary64)) x) x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/12 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 7/12 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x) |
-7 |
#s(literal -7 binary64) |
(- (* 3 x) 7) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 7 binary64)) |
(- (* x (+ 3 (* 9/2 x))) 7) |
(-.f64 (*.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x) #s(literal 7 binary64)) |
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x) #s(literal 7 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* 9/2 x)))) |
(fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/8 (* 1/48 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 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)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
7 |
#s(literal 7 binary64) |
(+ 7 (* 11 x)) |
(fma.f64 #s(literal 11 binary64) x #s(literal 7 binary64)) |
(+ 7 (* x (+ 11 (* 21/2 x)))) |
(fma.f64 (fma.f64 #s(literal 21/2 binary64) x #s(literal 11 binary64)) x #s(literal 7 binary64)) |
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 47/6 binary64) x #s(literal 21/2 binary64)) x #s(literal 11 binary64)) x #s(literal 7 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(- (* x (- (* 1/2 x) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(* 1/360 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x)))) |
(* 1/360 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) |
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (exp.f64 x) #s(literal 4 binary64)) |
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (pow (exp x) 3) 8)))) (+ 4 (* (exp x) (+ 2 (exp x))))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (pow (exp x) 3) 8) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(pow (exp x) 3) |
(pow.f64 (exp.f64 x) #s(literal 3 binary64)) |
(- (+ (exp (neg x)) (* (sqrt (exp x)) (exp (* 1/2 x)))) 2) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp (* 1/2 x)) |
(sqrt.f64 (exp.f64 x)) |
(sqrt (exp x)) |
(sqrt.f64 (exp.f64 x)) |
(exp x) |
(exp.f64 x) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) |
(- (exp (neg x)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(- (+ (exp (* -1 x)) (* (sqrt (exp x)) (exp (* 1/2 x)))) 2) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(- (exp (* -1 x)) 2) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 232 |
| 0 | 64 | 231 |
| 1 | 255 | 208 |
| 2 | 2003 | 200 |
| 0 | 8720 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 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 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal 3 binary64)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sqrt.f64 (exp.f64 x)) |
(exp.f64 x) |
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))) x)))) |
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(exp.f64 (/.f64 x #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))) |
(sqrt.f64 (exp.f64 x)) |
(+.f64 (cosh.f64 (/.f64 x #s(literal 2 binary64))) (sinh.f64 (/.f64 x #s(literal 2 binary64)))) |
(+.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) (cosh.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (/.f64 x #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (fabs.f64 (sqrt.f64 (exp.f64 x))) (fabs.f64 (sqrt.f64 (exp.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x)))) |
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) x) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 x x)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(fma.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (exp.f64 x)) (*.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (exp.f64 x)))) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (exp.f64 x)) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (exp.f64 x))) (*.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (exp.f64 x)))) |
(+.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (cosh.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 (exp.f64 x)) (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 (neg.f64 x)))) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(exp.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (neg.f64 (neg.f64 x))) |
(exp.f64 x) |
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) |
(*.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) |
(*.f64 (exp.f64 x) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (exp.f64 x))) (neg.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 3 binary64))) (exp.f64 x))) (neg.f64 (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (exp.f64 x)) (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 3 binary64))) (exp.f64 x)) (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (cosh.f64 x) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (*.f64 (sinh.f64 x) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (exp.f64 x) (*.f64 #s(literal 4 binary64) (exp.f64 x))) |
(fma.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (cosh.f64 x) (*.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (sinh.f64 x))) |
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (exp.f64 x))) |
(fma.f64 (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 4 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 4 binary64) (*.f64 (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 x) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (sinh.f64 x) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (exp.f64 x)) (*.f64 #s(literal 4 binary64) (exp.f64 x))) |
(+.f64 (*.f64 #s(literal 4 binary64) (exp.f64 x)) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (cosh.f64 x)) (*.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (sinh.f64 x))) |
(+.f64 (*.f64 (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 (exp.f64 x) #s(literal 4 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 8 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64))) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #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 (neg.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 8 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
Compiled 57 361 to 3 903 computations (93.2% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 287 | 3 | 1 290 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 7 | 7 |
| Total | 1 289 | 12 | 1 301 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.1% | (fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
| 57.3% | (/.f64 (fma.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 x)) | |
| 56.1% | (/.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) | |
| ✓ | 55.8% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | 55.4% | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| ✓ | 54.2% | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| ✓ | 55.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | 99.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
| ✓ | 99.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| ✓ | 99.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| 99.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) | |
| ✓ | 99.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 560 to 242 computations (56.8% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #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 (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(-.f64 (*.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))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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)) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.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 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(/.f64 (fma.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 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 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
2 calls:
| 531.0ms | x |
| 4.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.6% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.5% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.5% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg 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 |
|---|---|---|
| 99.0% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.0% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.2% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 54.2% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 92 |
| 1 | 58 | 92 |
| 2 | 137 | 92 |
| 3 | 438 | 92 |
| 4 | 2076 | 84 |
| 5 | 7540 | 84 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 232 |
| 0 | 64 | 231 |
| 1 | 255 | 208 |
| 2 | 2003 | 200 |
| 0 | 8720 | 188 |
| 0 | 130 | 478 |
| 1 | 466 | 478 |
| 2 | 1475 | 459 |
| 3 | 5852 | 459 |
| 0 | 8159 | 422 |
| 0 | 144 | 530 |
| 1 | 536 | 518 |
| 2 | 1816 | 515 |
| 3 | 5904 | 515 |
| 0 | 8166 | 471 |
| 0 | 7 | 17 |
| 0 | 12 | 17 |
| 1 | 52 | 17 |
| 2 | 423 | 15 |
| 3 | 7689 | 15 |
| 0 | 8101 | 15 |
| 0 | 34 | 156 |
| 0 | 57 | 141 |
| 1 | 239 | 135 |
| 2 | 1955 | 135 |
| 0 | 8408 | 135 |
| 0 | 60 | 160 |
| 1 | 208 | 159 |
| 2 | 664 | 153 |
| 3 | 2594 | 153 |
| 4 | 7057 | 153 |
| 0 | 8435 | 136 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 253 to 151 computations (40.3% saved)
(abs x)
Compiled 270 to 128 computations (52.6% saved)
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