
Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 15 to 9 computations (40% saved)
| 1.7s | 3 211× | 2 | valid |
| 1.1s | 4 634× | 1 | valid |
| 608.0ms | 7 793× | 0 | exit |
| 26.0ms | 411× | 0 | valid |
ival-exp: 1.6s (59.5% of total)adjust: 398.0ms (14.7% of total)ival-add: 222.0ms (8.2% of total)ival-div: 214.0ms (7.9% of total)ival-sub: 164.0ms (6.1% of total)ival-neg: 76.0ms (2.8% of total)ival-true: 12.0ms (0.4% of total)ival-assert: 7.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 248 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 248 | 1 |
/.f64 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) | o/o | 3 | 0 |
| ↳ | (exp.f64 x) | overflow | 1 | |
| ↳ | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | overflow | 3 | |
| ↳ | (exp.f64 (neg.f64 x)) | overflow | 2 | |
| ↳ | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | overflow | 3 | |
| ↳ | (exp.f64 x) | overflow | 1 | |
| ↳ | (exp.f64 (neg.f64 x)) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 251 | 0 |
| - | 0 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 251 | 0 | 0 |
| - | 0 | 1 | 4 |
| number | freq |
|---|---|
| 0 | 5 |
| 1 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 75.0ms | 166× | 2 | valid |
| 61.0ms | 330× | 1 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 83 to 25 computations (69.9% saved)
ival-exp: 72.0ms (63.3% of total)adjust: 19.0ms (16.7% of total)ival-div: 7.0ms (6.2% of total)ival-add: 6.0ms (5.3% of total)ival-sub: 5.0ms (4.4% of total)ival-neg: 3.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 34 | 27 |
| 2 | 87 | 27 |
| 3 | 351 | 27 |
| 4 | 3679 | 19 |
| 0 | 7 | 13 |
| 0 | 13 | 13 |
| 1 | 26 | 13 |
| 2 | 66 | 13 |
| 3 | 258 | 13 |
| 4 | 1659 | 9 |
| 0 | 8837 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(negabs x)
Compiled 13 to 7 computations (46.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.0% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 13 to 7 computations (46.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) | |
| cost-diff | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| cost-diff | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 13 | 33 |
| 1 | 26 | 33 |
| 2 | 66 | 33 |
| 3 | 258 | 33 |
| 4 | 1659 | 25 |
| 0 | 8837 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.7343832531524757 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) | |
| accuracy | 58.13887237207131 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 66.0ms | 83× | 2 | valid |
| 30.0ms | 165× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-div: 36.0ms (41.9% of total)ival-exp: 34.0ms (39.6% of total)adjust: 10.0ms (11.6% of total)ival-add: 3.0ms (3.5% of total)ival-sub: 3.0ms (3.5% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(exp.f64 x) |
| Outputs |
|---|
(* 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 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(exp x) |
(- (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x)) |
| 1.0ms | x | @ | inf | ((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x)) |
| 1.0ms | x | @ | -inf | ((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 210 |
| 1 | 292 | 210 |
| 2 | 958 | 200 |
| 3 | 3882 | 200 |
| 0 | 8155 | 179 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(exp x) |
(- (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
| Outputs |
|---|
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #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 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 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)) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(exp x) |
(exp.f64 x) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 13 | 12 |
| 1 | 50 | 12 |
| 2 | 395 | 12 |
| 3 | 6196 | 12 |
| 0 | 9201 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(exp.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) x)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (sinh.f64 x)) |
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) x))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.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 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.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 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) x))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 x)) |
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) x)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (sinh.f64 (neg.f64 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) x))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (tanh.f64 x)) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) x)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) x)))) (+.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
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(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.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 x))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(fma.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) x)))) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) |
(fma.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 x)) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (cosh.f64 x)) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.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 2 binary64)) (sinh.f64 x)) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 x) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
Compiled 19 340 to 1 974 computations (89.8% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 698 | 3 | 701 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 699 | 3 | 702 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ▶ | 100.0% | (tanh.f64 x) |
| ▶ | 97.5% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (sinh.f64 x) | |
| cost-diff | 3 | (/.f64 (sinh.f64 x) (cosh.f64 x)) | |
| cost-diff | 0 | (tanh.f64 x) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 45 |
| 0 | 23 | 31 |
| 1 | 53 | 31 |
| 2 | 140 | 31 |
| 3 | 573 | 31 |
| 4 | 4150 | 31 |
| 0 | 9266 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/3 binary64) |
(tanh.f64 x) |
x |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
x |
(cosh.f64 x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/3 binary64) |
(tanh.f64 x) |
x |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(tanh.f64 x) |
(sinh.f64 x) |
x |
(cosh.f64 x) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (cosh.f64 x) | |
| accuracy | 0.0078125 | (sinh.f64 x) | |
| accuracy | 0.7343832531524757 | (/.f64 (sinh.f64 x) (cosh.f64 x)) | |
| accuracy | 0.01171875 | (tanh.f64 x) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) | |
| accuracy | 1.586464407051171 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
| 59.0ms | 83× | 2 | valid |
| 56.0ms | 165× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 41 to 18 computations (56.1% saved)
ival-exp: 36.0ms (36.6% of total)adjust: 19.0ms (19.3% of total)ival-pow: 13.0ms (13.2% of total)ival-add: 10.0ms (10.2% of total)ival-div: 5.0ms (5.1% of total)const: 4.0ms (4.1% of total)ival-sub: 3.0ms (3.1% of total)ival-cosh: 2.0ms (2% of total)ival-mult: 2.0ms (2% of total)ival-tanh: 1.0ms (1% of total)ival-sinh: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
(tanh.f64 x) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
(cosh.f64 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(pow x 3) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | ((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ (sinh x) (cosh x)) (sinh x) (cosh x)) |
| 6.0ms | x | @ | inf | ((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ (sinh x) (cosh x)) (sinh x) (cosh x)) |
| 2.0ms | x | @ | 0 | ((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ (sinh x) (cosh x)) (sinh x) (cosh x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 217 |
| 1 | 283 | 205 |
| 2 | 870 | 205 |
| 3 | 3586 | 205 |
| 0 | 8147 | 189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(pow x 3) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 0 | 23 | 26 |
| 1 | 94 | 26 |
| 2 | 686 | 26 |
| 0 | 8534 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
(tanh.f64 x) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
(cosh.f64 x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))) (+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (-.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))))) |
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(+.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (-.f64 (exp.f64 x) (cosh.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (sinh.f64 x))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (cosh.f64 x)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (sinh.f64 x)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (sinh.f64 x))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(+.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(+.f64 (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) 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 (/.f64 (cosh.f64 x) (cosh.f64 x)) (sinh.f64 x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.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)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #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 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (cosh.f64 x)) |
(/.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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (-.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 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) |
(/.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 (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 (-.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 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sinh.f64 x)) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (cosh.f64 x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.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 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sinh.f64 x)) |
(/.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) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) |
(/.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) (sinh.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(/.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) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.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) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) 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) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.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) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #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 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.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 (cosh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
Compiled 8 097 to 952 computations (88.2% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 277 | 1 | 278 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 278 | 3 | 281 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ✓ | 100.0% | (tanh.f64 x) |
| ▶ | 97.5% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
Compiled 29 to 18 computations (37.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 0 | 16 | 38 |
| 1 | 39 | 38 |
| 2 | 122 | 36 |
| 3 | 441 | 36 |
| 4 | 2000 | 32 |
| 0 | 9216 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x) | |
| accuracy | 0.37890625 | (*.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 1.586464407051171 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
| 52.0ms | 83× | 2 | valid |
| 40.0ms | 165× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 32 to 14 computations (56.3% saved)
ival-exp: 34.0ms (43.3% of total)adjust: 23.0ms (29.3% of total)ival-div: 5.0ms (6.4% of total)ival-mult: 5.0ms (6.4% of total)ival-add: 4.0ms (5.1% of total)const: 4.0ms (5.1% of total)ival-sub: 3.0ms (3.8% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
(*.f64 x x) |
(*.f64 x #s(literal -1/3 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(pow x 2) |
(* -1/3 x) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x x) (* x -1/3)) |
| 1.0ms | x | @ | -inf | ((+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x x) (* x -1/3)) |
| 1.0ms | x | @ | 0 | ((+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x x) (* x -1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 106 |
| 1 | 128 | 100 |
| 2 | 322 | 100 |
| 3 | 1206 | 100 |
| 4 | 3783 | 100 |
| 0 | 8111 | 96 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(pow x 2) |
(* -1/3 x) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x) |
(pow x 2) |
(*.f64 x x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 36 |
| 0 | 16 | 25 |
| 1 | 75 | 23 |
| 2 | 612 | 23 |
| 0 | 8459 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
(*.f64 x x) |
(*.f64 x #s(literal -1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64) (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))) (+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))) (-.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (*.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal -1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal -1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64) (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64) (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (neg.f64 x) x) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (neg.f64 x) x) x) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) x) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) |
(fma.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x) |
(+.f64 x (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 x #s(literal -1/3 binary64)) |
Compiled 3 670 to 374 computations (89.8% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 1 | 92 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 91 | 4 | 95 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 97.5% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
| ▶ | 97.5% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
Compiled 51 to 31 computations (39.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 0 | 17 | 42 |
| 1 | 37 | 42 |
| 2 | 96 | 42 |
| 3 | 349 | 40 |
| 4 | 1906 | 36 |
| 0 | 8960 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) | |
| accuracy | 0.37890625 | (*.f64 #s(literal -1/3 binary64) x) | |
| accuracy | 1.586464407051171 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
| 92.0ms | 83× | 2 | valid |
| 54.0ms | 165× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 37 to 15 computations (59.5% saved)
ival-exp: 56.0ms (41.4% of total)ival-add: 35.0ms (25.9% of total)ival-mult: 18.0ms (13.3% of total)adjust: 14.0ms (10.4% of total)ival-div: 4.0ms (3% of total)const: 4.0ms (3% of total)ival-sub: 3.0ms (2.2% 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 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(* -1/3 x) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (+ (* (* -1/3 x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* -1/3 x) x) 1) (* -1/3 x)) |
| 1.0ms | x | @ | inf | ((* (+ (* (* -1/3 x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* -1/3 x) x) 1) (* -1/3 x)) |
| 1.0ms | x | @ | 0 | ((* (+ (* (* -1/3 x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* -1/3 x) x) 1) (* -1/3 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 127 |
| 1 | 130 | 121 |
| 2 | 324 | 121 |
| 3 | 1203 | 121 |
| 4 | 3795 | 121 |
| 0 | 8028 | 116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(* -1/3 x) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 0 | 17 | 28 |
| 1 | 74 | 28 |
| 2 | 566 | 26 |
| 3 | 7807 | 26 |
| 0 | 8088 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/729 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (/.f64 x (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) x) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) x) (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) x (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (*.f64 x (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)) |
(-.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) x) (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x)) |
(+.f64 (*.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) (*.f64 x (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x) |
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/9 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/19683 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/729 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1/27 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
Compiled 4 436 to 498 computations (88.8% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 1 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 117 | 5 | 122 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 97.5% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
| ✓ | 97.5% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
| 97.5% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) x)) |
Compiled 185 to 86 computations (53.5% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
(tanh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(tanh.f64 x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 100.0% | 1 | x |
Compiled 14 to 8 computations (42.9% saved)
Total -0.1b remaining (-7.5%)
Threshold costs -0.1b (-7.5%)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) x)) |
2 calls:
| 24.0ms | x |
| 1.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 97.5% | 1 | x |
Compiled 14 to 8 computations (42.9% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 27 |
| 1 | 35 | 27 |
| 2 | 85 | 27 |
| 3 | 318 | 27 |
| 4 | 1755 | 23 |
| 1× | node limit |
| Inputs |
|---|
(tanh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(tanh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 0 | 23 | 26 |
| 1 | 94 | 26 |
| 2 | 686 | 26 |
| 0 | 8534 | 26 |
| 0 | 12 | 36 |
| 0 | 16 | 25 |
| 1 | 75 | 23 |
| 2 | 612 | 23 |
| 0 | 8459 | 21 |
| 0 | 79 | 210 |
| 1 | 292 | 210 |
| 2 | 958 | 200 |
| 3 | 3882 | 200 |
| 0 | 8155 | 179 |
| 0 | 46 | 127 |
| 1 | 130 | 121 |
| 2 | 324 | 121 |
| 3 | 1203 | 121 |
| 4 | 3795 | 121 |
| 0 | 8028 | 116 |
| 0 | 7 | 27 |
| 0 | 13 | 12 |
| 1 | 50 | 12 |
| 2 | 395 | 12 |
| 3 | 6196 | 12 |
| 0 | 9201 | 12 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 27 to 17 computations (37% saved)
(negabs x)
Compiled 84 to 52 computations (38.1% saved)
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