
Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 10 to 9 computations (10% saved)
| 696.0ms | 1 527× | 2 | valid |
| 450.0ms | 2 466× | 1 | valid |
| 276.0ms | 4 263× | 0 | valid |
ival-exp: 827.0ms (68% of total)ival-div: 166.0ms (13.7% of total)ival-sub: 100.0ms (8.2% of total)adjust: 67.0ms (5.5% of total)ival-neg: 40.0ms (3.3% of total)ival-true: 7.0ms (0.6% of total)exact: 5.0ms (0.4% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 124 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (-158.12381369761482) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 124 | 0 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 124 | 0 |
| - | 1 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 124 | 0 | 0 |
| - | 1 | 1 | 130 |
| number | freq |
|---|---|
| 0 | 131 |
| 1 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 138× | 1 | valid |
| 46.0ms | 102× | 2 | valid |
| 15.0ms | 272× | 0 | valid |
Compiled 81 to 32 computations (60.5% saved)
ival-exp: 48.0ms (44.4% of total)ival-neg: 44.0ms (40.7% of total)ival-div: 6.0ms (5.6% of total)adjust: 4.0ms (3.7% of total)ival-sub: 4.0ms (3.7% of total)ival-true: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 7 |
| 1 | 45 | 7 |
| 2 | 130 | 5 |
| 3 | 719 | 5 |
| 4 | 5446 | 5 |
| 0 | 7 | 8 |
| 0 | 12 | 2 |
| 1 | 31 | 2 |
| 2 | 84 | 2 |
| 3 | 400 | 2 |
| 4 | 2894 | 2 |
| 0 | 9007 | 2 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(sinh.f64 x) |
(negabs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.3% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
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 | 128 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| cost-diff | 7296 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 17 |
| 1 | 31 | 17 |
| 2 | 84 | 17 |
| 3 | 400 | 16 |
| 4 | 2894 | 16 |
| 0 | 9007 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(sinh.f64 x) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (sinh.f64 x) (sinh.f64 x)) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (exp.f64 (neg.f64 x)) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 28.62072739433988 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 19.0ms | 51× | 2 | valid |
| 18.0ms | 136× | 0 | valid |
| 11.0ms | 69× | 1 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-exp: 20.0ms (68.7% of total)ival-div: 3.0ms (10.3% of total)adjust: 2.0ms (6.9% of total)ival-sub: 2.0ms (6.9% of total)ival-neg: 1.0ms (3.4% 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) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
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))) |
(* -1 x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(exp x) |
(exp (neg x)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(- (exp x) (exp (* -1 x))) |
(exp (* -1 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x)) |
| 1.0ms | x | @ | inf | ((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 184 |
| 1 | 286 | 183 |
| 2 | 974 | 177 |
| 3 | 3915 | 173 |
| 0 | 8222 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
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))) |
(* -1 x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(exp x) |
(exp (neg x)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(- (exp x) (exp (* -1 x))) |
(exp (* -1 x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
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 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (+.f64 (sinh.f64 x) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(- (exp x) (exp (neg x))) |
(+.f64 (sinh.f64 x) (sinh.f64 x)) |
(exp x) |
(exp.f64 x) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (+.f64 (sinh.f64 x) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (sinh.f64 x) (sinh.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 13 |
| 1 | 54 | 13 |
| 2 | 410 | 13 |
| 3 | 7849 | 13 |
| 0 | 8080 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -3 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (sinh.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)) |
(*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
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(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (cosh.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (cosh.f64 x) (sinh.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal -1/4 binary64) (cosh.f64 x)) |
(fma.f64 (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (cosh.f64 x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (sinh.f64 x) (cosh.f64 x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (cosh.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (cosh.f64 x)) |
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x)) |
(fma.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)) (cosh.f64 x)) |
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64) (cosh.f64 x)) |
(fma.f64 (sinh.f64 x) #s(literal -1 binary64) (cosh.f64 x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64)) (cosh.f64 x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (sinh.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (cosh.f64 x)) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(-.f64 (+.f64 (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) |
(-.f64 (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(-.f64 (cosh.f64 x) (sinh.f64 x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(exp.f64 (neg.f64 x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) (sinh.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))) |
(+.f64 (+.f64 (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(+.f64 (*.f64 (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (cosh.f64 x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 (neg.f64 x))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(+.f64 (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(+.f64 (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) |
(neg.f64 x) |
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(log.f64 (exp.f64 (neg.f64 x))) |
Compiled 18 599 to 2 790 computations (85% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 886 | 5 | 891 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 887 | 5 | 892 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.4% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| ▶ | 92.2% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| ▶ | 86.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| ▶ | 51.3% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
| ▶ | 100.0% | (sinh.f64 x) |
Compiled 160 to 106 computations (33.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sinh.f64 x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 272 |
| 0 | 51 | 272 |
| 1 | 100 | 272 |
| 2 | 313 | 272 |
| 3 | 1627 | 264 |
| 4 | 6431 | 264 |
| 0 | 8720 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sinh.f64 x) |
x |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 x x) |
x |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(sinh.f64 x) |
x |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 x x) |
x |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) | |
| accuracy | 4.245704807248859 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.0234375 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 4.973829966635257 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.078125 | (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 8.520461337392023 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 31.185553512036634 | #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0 | (sinh.f64 x) |
| 58.0ms | 136× | 0 | valid |
| 40.0ms | 51× | 2 | valid |
| 36.0ms | 69× | 1 | valid |
Compiled 470 to 59 computations (87.4% saved)
ival-mult: 41.0ms (36.5% of total)const: 22.0ms (19.6% of total)ival-exp: 21.0ms (18.7% of total)ival-add: 12.0ms (10.7% of total)adjust: 8.0ms (7.1% of total)ival-div: 3.0ms (2.7% of total)ival-sub: 2.0ms (1.8% of total)ival-sinh: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(sinh.f64 x) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(pow x 2) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 5)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/60 (pow x 2)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(- (exp x) (exp (* -1 x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3)) |
| 3.0ms | x | @ | inf | ((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3)) |
| 2.0ms | x | @ | 0 | ((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 522 |
| 1 | 456 | 516 |
| 2 | 1534 | 514 |
| 3 | 7148 | 514 |
| 0 | 8237 | 488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(pow x 2) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 5)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/60 (pow x 2)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(- (exp x) (exp (* -1 x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow x 2))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/60 (pow x 2))) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 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))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(* 1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/60 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/60 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/60 (pow x 2)) |
(*.f64 #s(literal 1/60 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) (pow.f64 x #s(literal 7 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 251 |
| 0 | 51 | 235 |
| 1 | 211 | 235 |
| 2 | 1550 | 235 |
| 0 | 8482 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sinh.f64 x) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (sinh.f64 x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(sinh.f64 x) |
(neg.f64 (sinh.f64 (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (neg.f64 x))) x) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 #s(literal 1 binary64) x x) |
(fma.f64 x #s(literal 1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 x x) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))) #s(literal -1/2 binary64)) |
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1/27 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)) x)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) |
Compiled 24 775 to 3 449 computations (86.1% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 673 | 11 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 677 | 12 | 689 |
| Status | Accuracy | Program |
|---|---|---|
| 93.4% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| 93.4% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| 92.2% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| ▶ | 93.4% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| ▶ | 92.2% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| ▶ | 86.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| 93.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) | |
| ▶ | 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| 92.2% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 86.7% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| ▶ | 51.3% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
| ✓ | 100.0% | (sinh.f64 x) |
Compiled 502 to 334 computations (33.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 403 |
| 0 | 64 | 403 |
| 1 | 118 | 403 |
| 2 | 322 | 403 |
| 3 | 1578 | 393 |
| 4 | 5767 | 393 |
| 0 | 8444 | 393 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 x x) |
x |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 x x) |
x |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 x x) |
x |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 x x) |
x |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) | |
| accuracy | 0.171875 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) | |
| accuracy | 4.245704807248859 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) | |
| accuracy | 0.03125 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 0.21484375 | (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) | |
| accuracy | 4.973829966635257 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) | |
| accuracy | 0.38671875 | (*.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 8.520461337392023 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) | |
| accuracy | 0 | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 31.185553512036634 | #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) | |
| accuracy | 4.245704807248859 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
| 74.0ms | 69× | 1 | valid |
| 62.0ms | 51× | 2 | valid |
| 37.0ms | 136× | 0 | valid |
Compiled 706 to 73 computations (89.7% saved)
ival-div: 36.0ms (25% of total)ival-mult: 32.0ms (22.2% of total)adjust: 25.0ms (17.3% of total)ival-exp: 23.0ms (16% of total)const: 12.0ms (8.3% of total)ival-add: 11.0ms (7.6% of total)ival-sub: 2.0ms (1.4% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/60 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 5)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/60 (pow x 3)) |
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 2)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 5)) |
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(- (exp x) (exp (* -1 x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* 1/3 x) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x)) |
| 2.0ms | x | @ | inf | ((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* 1/3 x) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x)) |
| 2.0ms | x | @ | 0 | ((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* 1/3 x) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 602 |
| 1 | 500 | 596 |
| 2 | 1670 | 594 |
| 3 | 7664 | 594 |
| 0 | 8242 | 564 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/60 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 5)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/60 (pow x 3)) |
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 2)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 5)) |
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(- (exp x) (exp (* -1 x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow x 2))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/60 (pow x 2))) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 1/60 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/60 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/60 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2520 (pow x 2)) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/60 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 1/60 (pow x 2)) |
(*.f64 #s(literal 1/60 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/2520 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 356 |
| 0 | 64 | 336 |
| 1 | 236 | 336 |
| 2 | 1540 | 336 |
| 0 | 8747 | 336 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
| Outputs |
|---|
(*.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))) |
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) #s(literal -1 binary64))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
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(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/60 binary64) (neg.f64 x))) x #s(literal 1/3 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/60 binary64) x)) x #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/60 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/60 binary64) x)) #s(literal 1/3 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/60 binary64) x) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/60 binary64) x)) x)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/60 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) |
(+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x)) |
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x))) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x)) |
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x))) |
Compiled 28 905 to 3 642 computations (87.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 638 | 11 | 649 |
| Fresh | 4 | 2 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 646 | 15 | 661 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.2% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| 93.4% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| 92.2% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| 93.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) | |
| ▶ | 51.3% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
| ✓ | 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| ▶ | 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 92.2% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| ▶ | 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| ▶ | 92.2% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| 86.7% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 86.7% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| ✓ | 100.0% | (sinh.f64 x) |
Compiled 657 to 447 computations (32% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 128 | (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| cost-diff | -128 | (+.f64 x x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 445 |
| 0 | 75 | 439 |
| 1 | 149 | 439 |
| 2 | 366 | 439 |
| 3 | 1743 | 429 |
| 4 | 5940 | 429 |
| 0 | 8618 | 429 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) |
(+.f64 x x) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/60 binary64) x) |
#s(literal 1/60 binary64) |
x |
#s(literal 1/3 binary64) |
(*.f64 x x) |
#s(literal 2 binary64) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) |
#s(literal 1/60 binary64) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) |
#s(literal -1/2520 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/60 binary64) x) |
#s(literal 1/60 binary64) |
x |
#s(literal 1/3 binary64) |
(*.f64 x x) |
#s(literal 2 binary64) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) |
#s(literal -1/2520 binary64) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 0.11328125 | (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) | |
| accuracy | 4.245704807248859 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) | |
| accuracy | 0.08984375 | (*.f64 #s(literal 1/60 binary64) x) | |
| accuracy | 4.973829966635257 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.03125 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 0.21484375 | (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) | |
| accuracy | 4.973829966635257 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) | |
| accuracy | 0 | (+.f64 x x) | |
| accuracy | 0 | (*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) | |
| accuracy | 31.185553512036634 | #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) | |
| accuracy | 0.171875 | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) | |
| accuracy | 4.245704807248859 | #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
| 64.0ms | 69× | 1 | valid |
| 50.0ms | 50× | 2 | valid |
| 48.0ms | 136× | 0 | valid |
| 8.0ms | 1× | 5 | exit |
Compiled 777 to 85 computations (89.1% saved)
ival-mult: 38.0ms (29.8% of total)const: 26.0ms (20.4% of total)ival-exp: 21.0ms (16.5% of total)adjust: 19.0ms (14.9% of total)ival-add: 15.0ms (11.8% of total)ival-sub: 4.0ms (3.1% of total)ival-div: 3.0ms (2.4% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) |
(+.f64 x x) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/60 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) |
(fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/60 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/60 x) |
(* -1/2520 (pow x 2)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/60 (pow x 5)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 5)) |
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/60 (pow x 3)) |
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 2)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(- (exp x) (exp (* -1 x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) x) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (+ x x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (- 1/60 (* -1/2520 (* x x))) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (* x x)) 2) x) (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) (+ (* (* x x) 1/2520) 1/60) (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3) (* -1/2520 (* x x)) (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (+ (* (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (* x x)) 2)) |
| 3.0ms | x | @ | inf | ((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) x) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (+ x x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (- 1/60 (* -1/2520 (* x x))) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (* x x)) 2) x) (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) (+ (* (* x x) 1/2520) 1/60) (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3) (* -1/2520 (* x x)) (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (+ (* (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (* x x)) 2)) |
| 2.0ms | x | @ | 0 | ((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) x) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (+ x x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (- 1/60 (* -1/2520 (* x x))) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (* x x)) 2) x) (* (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) x) (+ (* (* x x) 1/2520) 1/60) (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3) (* -1/2520 (* x x)) (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (+ (* (+ (* (- 1/60 (* -1/2520 (* x x))) (* x x)) 1/3) (* x x)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 584 |
| 1 | 487 | 578 |
| 2 | 1608 | 576 |
| 3 | 7226 | 576 |
| 0 | 8324 | 548 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/60 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/60 x) |
(* -1/2520 (pow x 2)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/60 (pow x 5)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 5)) |
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/60 (pow x 3)) |
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 2)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(- (exp x) (exp (* -1 x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow x 2))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 1/60 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/60 (pow x 2))) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/60 x) |
(*.f64 #s(literal 1/60 binary64) x) |
(* -1/2520 (pow x 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/60 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/60 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2520 (pow x 2)) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x)))) |
(* 1/2520 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/60 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 1/60 (pow x 2)) |
(*.f64 #s(literal 1/60 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 410 |
| 0 | 75 | 384 |
| 1 | 303 | 384 |
| 2 | 1734 | 384 |
| 0 | 8251 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) |
(+.f64 x x) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/60 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) |
(fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) x) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) |
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(fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal -2 binary64)))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal -2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) x)) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 x x))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))) |
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal -2 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) |
Compiled 25 415 to 3 378 computations (86.7% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 567 | 9 | 576 |
| Fresh | 5 | 3 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 574 | 17 | 591 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.2% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| 93.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) | |
| 92.2% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 1/2 binary64)) | |
| 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) | |
| ✓ | 51.3% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
| ✓ | 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| ✓ | 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 92.2% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 93.4% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 92.2% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 86.7% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 92.2% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| 86.7% | (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| ✓ | 100.0% | (sinh.f64 x) |
Compiled 1 291 to 477 computations (63.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(sinh.f64 x) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(sinh.f64 x) |
3 calls:
| 10.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 9.0ms | x |
| 8.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 100.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
3 calls:
| 9.0ms | x |
| 8.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 7.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 1 | x |
| 93.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.4% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
3 calls:
| 8.0ms | x |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 1 | x |
| 93.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.4% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (- 1/60 (* -1/2520 (* x x))) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
3 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 4.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | x |
| 92.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.2% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | x |
| 92.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.2% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/2520) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
3 calls:
| 6.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 1 | x |
| 86.7% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 86.7% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 15 to 13 computations (13.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
3 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | x |
| 51.3% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 51.3% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 15 to 13 computations (13.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 143 |
| 1 | 71 | 143 |
| 1× | saturated |
| Inputs |
|---|
(sinh.f64 x) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(sinh.f64 x) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 410 |
| 0 | 75 | 384 |
| 1 | 303 | 384 |
| 2 | 1734 | 384 |
| 0 | 8251 | 384 |
| 0 | 74 | 184 |
| 1 | 286 | 183 |
| 2 | 974 | 177 |
| 3 | 3915 | 173 |
| 0 | 8222 | 151 |
| 0 | 36 | 356 |
| 0 | 64 | 336 |
| 1 | 236 | 336 |
| 2 | 1540 | 336 |
| 0 | 8747 | 336 |
| 0 | 127 | 602 |
| 1 | 500 | 596 |
| 2 | 1670 | 594 |
| 3 | 7664 | 594 |
| 0 | 8242 | 564 |
| 0 | 7 | 21 |
| 0 | 12 | 13 |
| 1 | 54 | 13 |
| 2 | 410 | 13 |
| 3 | 7849 | 13 |
| 0 | 8080 | 13 |
| 0 | 127 | 584 |
| 1 | 487 | 578 |
| 2 | 1608 | 576 |
| 3 | 7226 | 576 |
| 0 | 8324 | 548 |
| 0 | 29 | 251 |
| 0 | 51 | 235 |
| 1 | 211 | 235 |
| 2 | 1550 | 235 |
| 0 | 8482 | 235 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node 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 |
Compiled 619 to 297 computations (52% saved)
(negabs x)
Compiled 314 to 138 computations (56.1% saved)
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