
Time bar (total: 4.7s)
| 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 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 604.0ms | 3 891× | 1 | valid |
| 267.0ms | 4 365× | 0 | valid |
ival-div: 288.0ms (42% of total)adjust: 172.0ms (25.1% of total)ival-sub: 136.0ms (19.8% of total)ival-add: 75.0ms (10.9% of total)ival-true: 6.0ms (0.9% of total)exact: 5.0ms (0.7% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 1 | (-1.6816778208623832e+161) | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | cancellation | 67 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 1 | 189 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 1 | 0 | 189 |
| number | freq |
|---|---|
| 0 | 189 |
| 1 | 67 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 246× | 1 | valid |
| 14.0ms | 266× | 0 | valid |
Compiled 73 to 25 computations (65.8% saved)
ival-sub: 12.0ms (33.2% of total)ival-div: 10.0ms (27.6% of total)adjust: 9.0ms (24.9% of total)ival-add: 4.0ms (11.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 12 | 27 |
| 0 | 7 | 11 |
| 0 | 12 | 11 |
| 1 | 15 | 11 |
| 0 | 15 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 11 to 7 computations (36.4% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.0% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 29 |
| 0 | 12 | 29 |
| 1 | 15 | 29 |
| 0 | 15 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.02734375 | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 14.70138202944621 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 21.0ms | 123× | 1 | valid |
| 8.0ms | 133× | 0 | valid |
Compiled 31 to 9 computations (71% saved)
ival-div: 5.0ms (33.3% of total)adjust: 4.0ms (26.7% of total)ival-sub: 3.0ms (20% of total)ival-add: 2.0ms (13.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+ 1 x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1))) |
| 0.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1))) |
| 0.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 307 |
| 1 | 232 | 287 |
| 2 | 686 | 276 |
| 3 | 2828 | 273 |
| 0 | 8280 | 266 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+ 1 x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(- (* x (- (* -1 x) 1)) 1) |
(-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 12 | 24 |
| 1 | 58 | 24 |
| 2 | 490 | 24 |
| 3 | 6775 | 24 |
| 0 | 8604 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -6 binary64)))) (fma.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
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(fma.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) (sinh.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 x (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) (sinh.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))) |
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
Compiled 16 146 to 1 751 computations (89.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 613 | 6 | 619 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 614 | 6 | 620 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.7% | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 80.7% | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 50.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| 50.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)) | |
| ▶ | 49.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ▶ | 50.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 196 to 124 computations (36.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 2 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 4 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 2 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 3 | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 4 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 150 |
| 0 | 36 | 163 |
| 1 | 64 | 157 |
| 2 | 161 | 109 |
| 3 | 414 | 94 |
| 4 | 836 | 94 |
| 5 | 1921 | 94 |
| 0 | 8173 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.6554002230881006 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 30.046192239407947 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.6827439730881006 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) | |
| accuracy | 31.831941911547837 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 32.00721379082358 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) | |
| accuracy | 31.894774818485566 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0625 | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 30.046192239407947 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) |
| 44.0ms | 127× | 1 | valid |
| 18.0ms | 129× | 0 | valid |
Compiled 140 to 22 computations (84.3% saved)
ival-div: 16.0ms (35.6% of total)ival-sub: 10.0ms (22.2% of total)adjust: 10.0ms (22.2% of total)ival-add: 5.0ms (11.1% of total)ival-mult: 4.0ms (8.9% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
-1 |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
-2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(pow x 2) |
(/ -2 (pow x 2)) |
(- x 1) |
1 |
(+ 1 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (+ x 1)) |
| 1.0ms | x | @ | inf | ((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 240 |
| 1 | 216 | 236 |
| 2 | 765 | 218 |
| 3 | 3765 | 214 |
| 0 | 8273 | 203 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
-2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(pow x 2) |
(/ -2 (pow x 2)) |
(- x 1) |
1 |
(+ 1 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) |
-2 |
#s(literal -2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (*.f64 x x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 118 |
| 0 | 36 | 121 |
| 1 | 161 | 113 |
| 2 | 1324 | 113 |
| 0 | 8800 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x x) (-.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (pow.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x)))) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x)))) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 27 831 to 2 743 computations (90.1% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 848 | 4 | 852 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 851 | 7 | 858 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 99.0% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 50.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| ▶ | 49.7% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
| ▶ | 50.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 49.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | 50.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 115 to 76 computations (33.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 3 | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (fabs.f64 (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 140 |
| 0 | 39 | 137 |
| 1 | 63 | 137 |
| 2 | 139 | 107 |
| 3 | 300 | 107 |
| 4 | 586 | 107 |
| 5 | 990 | 107 |
| 6 | 1616 | 107 |
| 7 | 2420 | 107 |
| 8 | 3592 | 107 |
| 9 | 6500 | 107 |
| 0 | 8273 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (fma.f64 (fabs.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fabs.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0625 | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| accuracy | 0.6554002230881006 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (fabs.f64 (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 32.175435684194994 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 #s(literal -2 binary64) x) x) | |
| accuracy | 31.831941911547837 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| 45.0ms | 127× | 1 | valid |
| 19.0ms | 129× | 0 | valid |
Compiled 121 to 25 computations (79.3% saved)
ival-div: 15.0ms (30.8% of total)adjust: 10.0ms (20.5% of total)ival-add: 9.0ms (18.5% of total)ival-sub: 7.0ms (14.4% of total)ival-mult: 6.0ms (12.3% of total)ival-fabs: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(/ -2 (pow x 2)) |
(/ -2 x) |
(+ 2 (* x (fabs (* 2 x)))) |
(fabs (* 2 x)) |
(* 2 x) |
-2 |
-1 |
(- (pow x 2) 1) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(- x 1) |
1 |
(+ 1 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(* x (fabs (* 2 x))) |
(* x (+ (fabs (* 2 x)) (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (* -1 (fabs (* 2 x))) (* 2 (/ 1 x))))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (fabs (* 2 x)) x) 2) (fabs (* 2 x)) (* 2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x 1) (+ x 1)) |
| 1.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (fabs (* 2 x)) x) 2) (fabs (* 2 x)) (* 2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x 1) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (fabs (* 2 x)) x) 2) (fabs (* 2 x)) (* 2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x 1) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 281 |
| 1 | 245 | 277 |
| 2 | 850 | 259 |
| 3 | 3913 | 255 |
| 0 | 8270 | 241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(/ -2 (pow x 2)) |
(/ -2 x) |
(+ 2 (* x (fabs (* 2 x)))) |
(fabs (* 2 x)) |
(* 2 x) |
-2 |
-1 |
(- (pow x 2) 1) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(- x 1) |
1 |
(+ 1 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(* x (fabs (* 2 x))) |
(* x (+ (fabs (* 2 x)) (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (* -1 (fabs (* 2 x))) (* 2 (/ 1 x))))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(+ 2 (* x (fabs (* 2 x)))) |
(fma.f64 (*.f64 (fabs.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(fabs (* 2 x)) |
(*.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
-2 |
#s(literal -2 binary64) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (*.f64 x x)) |
(* x (fabs (* 2 x))) |
(*.f64 (*.f64 (fabs.f64 x) x) #s(literal 2 binary64)) |
(* x (+ (fabs (* 2 x)) (* 2 (/ 1 x)))) |
(fma.f64 (*.f64 (fabs.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (fabs (* 2 x))) (* 2 (/ 1 x))))) |
(fma.f64 (*.f64 (fabs.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 121 |
| 0 | 39 | 117 |
| 1 | 163 | 117 |
| 2 | 1224 | 115 |
| 0 | 8264 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 x)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -2 binary64) x) |
(neg.f64 (/.f64 #s(literal 2 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (-.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (-.f64 (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) (*.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 8 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (neg.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 x #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x x) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 (neg.f64 x) (neg.f64 x)) |
(+.f64 x x) |
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(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
Compiled 13 254 to 1 559 computations (88.2% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 4 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 1 | 2 | 3 |
| Total | 442 | 9 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.8% | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | 99.9% | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 99.0% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 59.6% | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
| ▶ | 50.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
| ▶ | 50.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
| ✓ | 50.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 49.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | 50.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 154 to 103 computations (33.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 3 | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 175 |
| 0 | 47 | 169 |
| 1 | 84 | 169 |
| 2 | 240 | 131 |
| 3 | 889 | 131 |
| 4 | 2041 | 131 |
| 5 | 4722 | 131 |
| 0 | 8768 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
(fma.f64 (+.f64 x x) x #s(literal 2 binary64)) |
(+.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
x |
#s(literal -2 binary64) |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) |
(fma.f64 (+.f64 x x) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.03125 | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.14453125 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| accuracy | 0.01953125 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 13.295290263633865 | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 16.488174439620185 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 16.361146336708032 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
| 33.0ms | 67× | 1 | valid |
| 25.0ms | 118× | 0 | invalid |
| 16.0ms | 70× | 0 | valid |
| 4.0ms | 1× | 5 | exit |
Compiled 157 to 31 computations (80.3% saved)
ival-mult: 11.0ms (20.1% of total)adjust: 10.0ms (18.3% of total)ival-div: 10.0ms (18.3% of total)ival-sub: 8.0ms (14.6% of total)ival-add: 8.0ms (14.6% of total)ival-pow: 4.0ms (7.3% of total)ival-sqrt: 2.0ms (3.7% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
(fma.f64 (+.f64 x x) x #s(literal 2 binary64)) |
(+.f64 x x) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(+ 2 (* -2 (pow x 2))) |
(* -2 x) |
(* 2 x) |
(+ 2 (* 2 (pow x 4))) |
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))) |
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))))) |
-2 |
-1 |
(- (pow x 4) 1) |
1 |
(+ 1 x) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(/ -2 (pow x 4)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
x |
(* x (+ 1 (/ 1 x))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/ 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ (+ (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (* x (pow (sqrt -1) 6)))) (/ 2 (* x (pow (sqrt -1) 4)))) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 6)))) (* -1 (/ (* (+ 1 (pow (sqrt -1) 2)) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) x)) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x -2) x) 2) (* x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ x x) x) 2) (+ x x) (* (/ (- (- (- x 1) x) 1) (- (pow x 4) 1)) (+ (* x x) 1)) (/ (- (- (- x 1) x) 1) (- (pow x 4) 1)) (- (- (- x 1) x) 1) (- (pow x 4) 1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (/ (- (- (- x 1) x) 1) (- x 1))) |
| 2.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x -2) x) 2) (* x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ x x) x) 2) (+ x x) (* (/ (- (- (- x 1) x) 1) (- (pow x 4) 1)) (+ (* x x) 1)) (/ (- (- (- x 1) x) 1) (- (pow x 4) 1)) (- (- (- x 1) x) 1) (- (pow x 4) 1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (/ (- (- (- x 1) x) 1) (- x 1))) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x -2) x) 2) (* x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ x x) x) 2) (+ x x) (* (/ (- (- (- x 1) x) 1) (- (pow x 4) 1)) (+ (* x x) 1)) (/ (- (- (- x 1) x) 1) (- (pow x 4) 1)) (- (- (- x 1) x) 1) (- (pow x 4) 1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (/ (- (- (- x 1) x) 1) (- x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 487 |
| 1 | 459 | 435 |
| 2 | 1969 | 378 |
| 0 | 9291 | 364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(+ 2 (* -2 (pow x 2))) |
(* -2 x) |
(* 2 x) |
(+ 2 (* 2 (pow x 4))) |
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))) |
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))))) |
-2 |
-1 |
(- (pow x 4) 1) |
1 |
(+ 1 x) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(/ -2 (pow x 4)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
x |
(* x (+ 1 (/ 1 x))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/ 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ (+ (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (* x (pow (sqrt -1) 6)))) (/ 2 (* x (pow (sqrt -1) 4)))) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 6)))) (* -1 (/ (* (+ 1 (pow (sqrt -1) 2)) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) x)) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(+ 2 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(+ 2 (* 2 (pow x 4))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))) |
(fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) |
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) |
-2 |
#s(literal -2 binary64) |
-1 |
#s(literal -1 binary64) |
(- (pow x 4) 1) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 x x)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/ -2 (pow x 4)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) |
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) |
(/ 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ (+ (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (* x (pow (sqrt -1) 6)))) (/ 2 (* x (pow (sqrt -1) 4)))) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) x)) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 6)))) (* -1 (/ (* (+ 1 (pow (sqrt -1) 2)) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) x)) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) x)) (*.f64 x x)) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 142 |
| 0 | 47 | 136 |
| 0 | 213 | 136 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
(fma.f64 (+.f64 x x) x #s(literal 2 binary64)) |
(+.f64 x x) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64)) |
(fma.f64 x (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(+.f64 x x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
Compiled 2 204 to 311 computations (85.9% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 3 | 89 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 5 | 5 |
| Total | 88 | 10 | 98 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 26.3% | (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) | |
| ✓ | 99.0% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| 9.8% | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(approx (- (pow x 4) 1) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) | |
| ✓ | 50.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
| ✓ | 50.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
| ✓ | 50.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 49.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| 2.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) | |
| ✓ | 50.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 508 to 202 computations (60.2% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(approx (- (pow x 4) 1) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 99.9% | 1 | x |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
2 calls:
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 99.0% | 1 | x |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 98.0% | 3 | x |
Compiled 12 to 8 computations (33.3% saved)
Total -30.8b remaining (-96.5%)
Threshold costs -30.8b (-96.5%)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | x |
| 50.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.0 |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 93 |
| 1 | 44 | 93 |
| 2 | 61 | 85 |
| 3 | 79 | 83 |
| 4 | 89 | 83 |
| 5 | 91 | 83 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 121 |
| 0 | 39 | 117 |
| 1 | 163 | 117 |
| 2 | 1224 | 115 |
| 0 | 8264 | 113 |
| 0 | 80 | 307 |
| 1 | 232 | 287 |
| 2 | 686 | 276 |
| 3 | 2828 | 273 |
| 0 | 8280 | 266 |
| 0 | 24 | 118 |
| 0 | 36 | 121 |
| 1 | 161 | 113 |
| 2 | 1324 | 113 |
| 0 | 8800 | 108 |
| 0 | 63 | 240 |
| 1 | 216 | 236 |
| 2 | 765 | 218 |
| 3 | 3765 | 214 |
| 0 | 8273 | 203 |
| 0 | 7 | 24 |
| 0 | 12 | 24 |
| 1 | 58 | 24 |
| 2 | 490 | 24 |
| 3 | 6775 | 24 |
| 0 | 8604 | 22 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 93 to 33 computations (64.5% saved)
Compiled 208 to 80 computations (61.5% saved)
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