Hyperbolic sine
Time bar (total: 10.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 10 to 8 computations (20% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1.1s | 4005× | 1 | valid |
| 423.0ms | 4251× | 0 | valid |
ival-exp: 723.0ms (67.3% of total)ival-div: 106.0ms (9.9% of total)backward-pass: 101.0ms (9.4% of total)ival-sub: 75.0ms (7% of total)ival-neg: 56.0ms (5.2% of total)const: 13.0ms (1.2% of total)| 2× | egg-herbie |
| 344× | fmsub-define |
| 342× | fnmsub-define |
| 340× | fnmadd-define |
| 318× | fnmadd-define |
| 286× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 40 | 24 |
| 2 | 92 | 24 |
| 3 | 201 | 24 |
| 4 | 476 | 24 |
| 5 | 964 | 24 |
| 6 | 1250 | 24 |
| 7 | 1349 | 24 |
| 0 | 7 | 8 |
| 1 | 18 | 8 |
| 2 | 36 | 8 |
| 3 | 66 | 8 |
| 4 | 119 | 8 |
| 5 | 209 | 8 |
| 6 | 361 | 8 |
| 7 | 621 | 8 |
| 8 | 988 | 8 |
| 9 | 1158 | 8 |
| 10 | 1176 | 8 |
| 0 | 1176 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(/ (- (exp (neg x)) (exp (neg (neg x)))) 2) |
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) 2)) |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(fnmsub (exp x) -1/2 (/ 1/2 (exp x))) |
(/ (- (exp (neg x)) (exp (neg (neg x)))) 2) |
(fnmsub (exp x) 1/2 (/ -1/2 (exp x))) |
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) 2)) |
(fnmsub (exp x) -1/2 (/ 1/2 (exp x))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 121 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 1 | (116.60067571442227) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 152.0ms | 236× | 1 | valid |
| 29.0ms | 276× | 0 | valid |
Compiled 59 to 23 computations (61% saved)
ival-exp: 70.0ms (76.4% of total)ival-div: 6.0ms (6.5% of total)ival-neg: 5.0ms (5.5% of total)backward-pass: 5.0ms (5.5% of total)ival-sub: 4.0ms (4.4% of total)const: 1.0ms (1.1% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.5% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 318× | fnmadd-define |
| 286× | fmsub-define |
| 284× | fnmsub-define |
| 276× | fma-lowering-fma.f32 |
| 276× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 18 | 23 |
| 2 | 36 | 23 |
| 3 | 66 | 23 |
| 4 | 119 | 23 |
| 5 | 209 | 23 |
| 6 | 361 | 23 |
| 7 | 621 | 23 |
| 8 | 988 | 23 |
| 9 | 1158 | 23 |
| 10 | 1176 | 23 |
| 0 | 1176 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(- (exp x) (exp (neg x))) |
(exp x) |
x |
(exp (neg x)) |
(neg x) |
2 |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
2 |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 56.5% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 65.0ms | 118× | 1 | valid |
| 12.0ms | 138× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-exp: 44.0ms (82.1% of total)ival-div: 3.0ms (5.6% of total)backward-pass: 3.0ms (5.6% of total)ival-neg: 2.0ms (3.7% of total)ival-sub: 2.0ms (3.7% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (exp x) (exp (neg x))) 2)> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (exp x)> |
#<alt (exp (neg x))> |
#<alt (neg x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (neg x) |
| 0.0ms | x | @ | 0 | (- (exp x) (exp (neg x))) |
| 1× | batch-egg-rewrite |
| 1480× | fnmadd-define |
| 1460× | prod-diff |
| 1446× | sum5-define |
| 1364× | *-lowering-*.f32 |
| 1364× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 29 | 13 |
| 2 | 99 | 13 |
| 3 | 539 | 13 |
| 4 | 3605 | 13 |
| 0 | 8203 | 13 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(- (exp x) (exp (neg x))) |
(exp x) |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(+.f64 (sinh.f64 x) (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+.f64 (sinh.f64 x) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))) |
(+.f64 (sinh.f64 x) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) #s(literal 1 binary64))) |
(+.f64 (sinh.f64 x) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))) |
(+.f64 (sinh.f64 x) (fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+.f64 (sinh.f64 x) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (sinh.f64 x) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+.f64 (sinh.f64 x) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+.f64 (sinh.f64 x) (fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (/.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 0 binary64) (sinh.f64 x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (sinh.f64 x)) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(+.f64 (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 4 binary64)) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 4 binary64)) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 (/.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 (/.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
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(/.f64 (*.f64 (sinh.f64 x) #s(literal -4 binary64)) #s(literal -4 binary64)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 4 binary64)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) #s(literal 4 binary64)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sinh.f64 x) #s(literal 4 binary64))) #s(literal 8 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (+.f64 (/.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (exp.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (exp.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (exp.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (exp.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 4 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 4 binary64)))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 4 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 x) #s(literal -4 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) #s(literal -2 binary64)) |
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal -4 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 8 binary64) (/.f64 (sinh.f64 x) #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -4 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (exp.f64 x)) |
(exp.f64 x) |
(-.f64 (exp.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(neg.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal -2 binary64)))) |
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) x) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) (log.f64 #s(literal -2 binary64))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x))) (log.f64 #s(literal -1/2 binary64))) |
(-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 x (log.f64 #s(literal -1 binary64)))) |
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) x) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x))) (log.f64 #s(literal -2 binary64))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(neg.f64 x) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
| 1× | egg-herbie |
| 2098× | +-lowering-+.f64 |
| 2098× | +-lowering-+.f32 |
| 2004× | *-lowering-*.f32 |
| 2004× | *-lowering-*.f64 |
| 1618× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 321 |
| 1 | 222 | 288 |
| 2 | 671 | 285 |
| 3 | 1940 | 285 |
| 4 | 2948 | 285 |
| 5 | 5496 | 285 |
| 6 | 6286 | 285 |
| 0 | 8188 | 285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))))))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
Compiled 7243 to 1248 computations (82.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 514 | 7 | 521 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 515 | 7 | 522 |
| Status | Accuracy | Program |
|---|---|---|
| 87.2% | (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) | |
| ▶ | 80.7% | (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
| ▶ | 80.4% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
| 92.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) | |
| ▶ | 87.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
| ▶ | 100.0% | (sinh.f64 x) |
| ▶ | 50.0% | x |
Compiled 166 to 108 computations (34.9% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| 3418× | *-lowering-*.f32 |
| 3418× | *-lowering-*.f64 |
| 2298× | /-lowering-/.f32 |
| 2298× | /-lowering-/.f64 |
| 1676× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 111 |
| 1 | 74 | 103 |
| 2 | 197 | 99 |
| 3 | 543 | 97 |
| 4 | 983 | 97 |
| 5 | 1699 | 97 |
| 6 | 3340 | 97 |
| 0 | 8829 | 97 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sinh x) |
x |
x |
(* x (- 1 (* (* x x) -1/6))) |
x |
(- 1 (* (* x x) -1/6)) |
1 |
(* (* x x) -1/6) |
(* x x) |
-1/6 |
(/ (* x (+ 2 (* x (* x 1/3)))) 2) |
(* x (+ 2 (* x (* x 1/3)))) |
x |
(+ 2 (* x (* x 1/3))) |
2 |
(* x (* x 1/3)) |
(* x 1/3) |
1/3 |
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x 1/120)))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* x (* x 1/120))))) |
1 |
(* (* x x) (+ 1/6 (* x (* x 1/120)))) |
(* x x) |
(+ 1/6 (* x (* x 1/120))) |
1/6 |
(* x (* x 1/120)) |
(* x 1/120) |
1/120 |
| Outputs |
|---|
(sinh x) |
(sinh.f64 x) |
x |
x |
(* x (- 1 (* (* x x) -1/6))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
x |
(- 1 (* (* x x) -1/6)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (* x x) -1/6) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* x x) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* x (+ 2 (* x (* x 1/3)))) 2) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 2 (* x (* x 1/3)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
x |
(+ 2 (* x (* x 1/3))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
2 |
#s(literal 2 binary64) |
(* x (* x 1/3)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* x 1/3) |
(*.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x 1/120)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* x (* x 1/120))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/6 (* x (* x 1/120)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ 1/6 (* x (* x 1/120))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x 1/120)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* x 1/120) |
(*.f64 x #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| 156.0ms | 256× | 0 | valid |
Compiled 132 to 24 computations (81.8% saved)
...c/correct-round.rkt:119:19: 71.0ms (72.9% of total)ival-mult: 17.0ms (17.5% of total)ival-add: 4.0ms (4.1% of total)ival-div: 2.0ms (2.1% of total)ival-sinh: 2.0ms (2.1% of total)ival-sub: 1.0ms (1% of total)const: 1.0ms (1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sinh x)> |
#<alt (* x (- 1 (* (* x x) -1/6)))> |
#<alt (- 1 (* (* x x) -1/6))> |
#<alt (* (* x x) -1/6)> |
#<alt (* x x)> |
#<alt (/ (* x (+ 2 (* x (* x 1/3)))) 2)> |
#<alt (* x (+ 2 (* x (* x 1/3))))> |
#<alt (+ 2 (* x (* x 1/3)))> |
#<alt (* x (* x 1/3))> |
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* x (* x 1/120))))))> |
#<alt (+ 1 (* (* x x) (+ 1/6 (* x (* x 1/120)))))> |
#<alt (* (* x x) (+ 1/6 (* x (* x 1/120))))> |
#<alt (* x 1/3)> |
#<alt (* x (* x 1/120))> |
#<alt (* x 1/120)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt 2> |
#<alt (+ 2 (* 1/3 (pow x 2)))> |
#<alt (+ 2 (* 1/3 (pow x 2)))> |
#<alt (+ 2 (* 1/3 (pow x 2)))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/ (* x (+ 2 (* x (* x 1/3)))) 2) |
| 1.0ms | x | @ | -inf | (* x (+ 2 (* x (* x 1/3)))) |
| 1.0ms | x | @ | -inf | (sinh x) |
| 1.0ms | x | @ | inf | (sinh x) |
| 1.0ms | x | @ | inf | (* x (- 1 (* (* x x) -1/6))) |
| 1× | batch-egg-rewrite |
| 2760× | *-lowering-*.f32 |
| 2760× | *-lowering-*.f64 |
| 1878× | /-lowering-/.f32 |
| 1878× | /-lowering-/.f64 |
| 1720× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 91 |
| 1 | 84 | 84 |
| 2 | 257 | 80 |
| 3 | 861 | 78 |
| 4 | 2896 | 78 |
| 0 | 8161 | 78 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sinh x) |
(* x (- 1 (* (* x x) -1/6))) |
(- 1 (* (* x x) -1/6)) |
(* (* x x) -1/6) |
(* x x) |
(/ (* x (+ 2 (* x (* x 1/3)))) 2) |
(* x (+ 2 (* x (* x 1/3)))) |
(+ 2 (* x (* x 1/3))) |
(* x (* x 1/3)) |
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x 1/120)))))) |
(+ 1 (* (* x x) (+ 1/6 (* x (* x 1/120))))) |
(* (* x x) (+ 1/6 (* x (* x 1/120)))) |
(* x 1/3) |
(* x (* x 1/120)) |
(* x 1/120) |
| Outputs |
|---|
(+.f64 (sinh.f64 x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+.f64 (sinh.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+.f64 (sinh.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) |
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(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(*.f64 x #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1/120 binary64) x) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 3924× | *-lowering-*.f32 |
| 3924× | *-lowering-*.f64 |
| 1702× | /-lowering-/.f32 |
| 1702× | /-lowering-/.f64 |
| 1698× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1196 |
| 1 | 217 | 964 |
| 2 | 616 | 958 |
| 3 | 2705 | 934 |
| 4 | 6394 | 934 |
| 0 | 8329 | 934 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* 1/3 (pow x 2))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* 1/3 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* 1/3 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(+ 2 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(+ 2 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
Compiled 19996 to 1981 computations (90.1% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1299 | 9 | 1308 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1302 | 13 | 1315 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.2% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| 80.4% | (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 87.2% | (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) | |
| ✓ | 80.4% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
| ▶ | 87.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| 92.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) | |
| ▶ | 92.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
| 42.6% | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) | |
| ▶ | 35.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ▶ | 42.4% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
| 42.4% | (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 50.0% | x |
Compiled 299 to 190 computations (36.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
| 4022× | fma-define |
| 1972× | fma-lowering-fma.f32 |
| 1972× | fma-lowering-fma.f64 |
| 1086× | sum3-define |
| 722× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 206 |
| 1 | 100 | 185 |
| 2 | 297 | 180 |
| 3 | 763 | 178 |
| 4 | 1727 | 178 |
| 5 | 2949 | 178 |
| 6 | 3584 | 178 |
| 7 | 3776 | 178 |
| 8 | 3776 | 178 |
| 9 | 4603 | 178 |
| 10 | 4702 | 178 |
| 11 | 4705 | 178 |
| 0 | 4705 | 178 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))) |
1 |
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))) |
(* x x) |
(+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))) |
1/6 |
(* x (* x (+ 1/120 (* x (* x 1/5040))))) |
(* x (+ 1/120 (* x (* x 1/5040)))) |
(+ 1/120 (* x (* x 1/5040))) |
1/120 |
(* x (* x 1/5040)) |
(* x 1/5040) |
1/5040 |
(* x (* x (* x 1/6))) |
x |
(* x (* x 1/6)) |
(* x 1/6) |
1/6 |
(/ (* (* x (* x x)) 1/3) 2) |
(* (* x (* x x)) 1/3) |
(* x (* x x)) |
x |
(* x x) |
1/3 |
2 |
(* x (* x (* 1/120 (* x (* x x))))) |
x |
(* x (* 1/120 (* x (* x x)))) |
(* 1/120 (* x (* x x))) |
1/120 |
(* x (* x x)) |
(* x x) |
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
1 |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(* x x) |
(+ 1/6 (* (* x x) 1/120)) |
1/6 |
(* (* x x) 1/120) |
1/120 |
| Outputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (+ 1/120 (* x (* x 1/5040))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* x (+ 1/120 (* x (* x 1/5040)))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(+ 1/120 (* x (* x 1/5040))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x 1/5040)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* x 1/5040) |
(*.f64 x #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
(* x (* x (* x 1/6))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
x |
(* x (* x 1/6)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* (* x (* x x)) 1/3) 2) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (* x (* x x)) 1/3) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
1/3 |
#s(literal 1/3 binary64) |
2 |
#s(literal 2 binary64) |
(* x (* x (* 1/120 (* x (* x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
x |
(* x (* 1/120 (* x (* x x)))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (* x (* x x))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 1/6 (* (* x x) 1/120)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) 1/120) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) |
| 173.0ms | 256× | 0 | valid |
Compiled 254 to 32 computations (87.4% saved)
ival-mult: 38.0ms (61% of total)...c/correct-round.rkt:119:19: 13.0ms (20.9% of total)ival-add: 6.0ms (9.6% of total)ival-div: 5.0ms (8% of total)const: 1.0ms (1.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))))> |
#<alt (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))> |
#<alt (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))> |
#<alt (* x x)> |
#<alt (* x (* x (* x 1/6)))> |
#<alt (* x (* x 1/6))> |
#<alt (* x 1/6)> |
#<alt (/ (* (* x (* x x)) 1/3) 2)> |
#<alt (* (* x (* x x)) 1/3)> |
#<alt (* x (* x x))> |
#<alt (* x (* x (* 1/120 (* x (* x x)))))> |
#<alt (* x (* 1/120 (* x (* x x))))> |
#<alt (* 1/120 (* x (* x x)))> |
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))> |
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))> |
#<alt (* (* x x) (+ 1/6 (* (* x x) 1/120)))> |
#<alt (* x (* x 1/5040))> |
#<alt (* x (* x (+ 1/120 (* x (* x 1/5040)))))> |
#<alt (* x (+ 1/120 (* x (* x 1/5040))))> |
#<alt (* (* x x) 1/120)> |
#<alt (+ 1/6 (* (* x x) 1/120))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (* x (* x (* 1/120 (* x (* x x))))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))) |
| 0.0ms | x | @ | 0 | (* x (* x (* x 1/6))) |
| 0.0ms | x | @ | -inf | (* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))) |
| 0.0ms | x | @ | inf | (* x (* x (* x 1/6))) |
| 1× | batch-egg-rewrite |
| 2504× | *-lowering-*.f32 |
| 2504× | *-lowering-*.f64 |
| 2006× | /-lowering-/.f32 |
| 2006× | /-lowering-/.f64 |
| 1424× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 161 |
| 1 | 110 | 143 |
| 2 | 367 | 136 |
| 3 | 1141 | 136 |
| 4 | 3659 | 136 |
| 0 | 8307 | 136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))) |
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))) |
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))) |
(* x x) |
(* x (* x (* x 1/6))) |
(* x (* x 1/6)) |
(* x 1/6) |
(/ (* (* x (* x x)) 1/3) 2) |
(* (* x (* x x)) 1/3) |
(* x (* x x)) |
(* x (* x (* 1/120 (* x (* x x))))) |
(* x (* 1/120 (* x (* x x)))) |
(* 1/120 (* x (* x x))) |
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(* x (* x 1/5040)) |
(* x (* x (+ 1/120 (* x (* x 1/5040))))) |
(* x (+ 1/120 (* x (* x 1/5040)))) |
(* (* x x) 1/120) |
(+ 1/6 (* (* x x) 1/120)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) (*.f64 x x) x) |
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x (*.f64 x (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) x) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
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(+.f64 (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64)) |
(+.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 x #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1/120 binary64) x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) x) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 2452× | *-lowering-*.f32 |
| 2452× | *-lowering-*.f64 |
| 1610× | /-lowering-/.f32 |
| 1610× | /-lowering-/.f64 |
| 1456× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1762 |
| 1 | 301 | 1497 |
| 2 | 913 | 1482 |
| 3 | 2771 | 1478 |
| 4 | 6572 | 1478 |
| 0 | 8040 | 1478 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
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(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
Compiled 18000 to 1962 computations (89.1% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1209 | 20 | 1229 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1212 | 30 | 1242 |
| Status | Accuracy | Program |
|---|---|---|
| 36.2% | (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) | |
| 35.9% | (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) | |
| 35.9% | (/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) | |
| 35.9% | (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) | |
| 36.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) | |
| 80.4% | (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 87.2% | (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) | |
| ▶ | 92.4% | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
| ▶ | 35.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
| 42.4% | (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) | |
| ▶ | 35.9% | (*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
| 42.4% | (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) | |
| ✓ | 80.4% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
| 92.4% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) | |
| 92.4% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) | |
| 92.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x)))) | |
| ✓ | 87.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | 92.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
| 92.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) | |
| 92.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) | |
| 42.4% | (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) | |
| 42.4% | (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) | |
| ▶ | 42.6% | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| 35.9% | (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) | |
| ▶ | 42.4% | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
| 42.4% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) | |
| ✓ | 35.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | 42.4% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 50.0% | x |
Compiled 721 to 433 computations (39.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 3 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
| 2550× | fma-define |
| 1972× | fma-lowering-fma.f32 |
| 1972× | fma-lowering-fma.f64 |
| 722× | *-lowering-*.f32 |
| 722× | *-lowering-*.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 181 |
| 1 | 95 | 160 |
| 2 | 286 | 157 |
| 3 | 624 | 157 |
| 4 | 1219 | 155 |
| 5 | 1764 | 155 |
| 6 | 2067 | 155 |
| 7 | 2320 | 155 |
| 8 | 2551 | 155 |
| 9 | 2601 | 155 |
| 10 | 2618 | 155 |
| 11 | 2618 | 155 |
| 12 | 2622 | 155 |
| 0 | 2622 | 155 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) x) |
(* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) |
(* x x) |
x |
(* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))) |
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) |
1/6 |
(* (* x x) (+ 1/120 (* (* x x) 1/5040))) |
(+ 1/120 (* (* x x) 1/5040)) |
1/120 |
(* (* x x) 1/5040) |
1/5040 |
(* (* x x) (/ x 6)) |
(* x x) |
x |
(/ x 6) |
6 |
(* (/ 1/2 (/ 3 x)) (* x x)) |
(/ 1/2 (/ 3 x)) |
1/2 |
(/ 3 x) |
3 |
x |
(* x x) |
(* x (* x (* (* (* x x) 1/120) x))) |
x |
(* x (* (* (* x x) 1/120) x)) |
(* (* (* x x) 1/120) x) |
(* (* x x) 1/120) |
(* x x) |
1/120 |
(* x (* (* x x) (+ 1/6 (* x (* x 1/120))))) |
x |
(* (* x x) (+ 1/6 (* x (* x 1/120)))) |
(* x x) |
(+ 1/6 (* x (* x 1/120))) |
1/6 |
(* x (* x 1/120)) |
(* x 1/120) |
1/120 |
| Outputs |
|---|
(+ (* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) x) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64))) |
(* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) |
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ 1/120 (* (* x x) 1/5040))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(+ 1/120 (* (* x x) 1/5040)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(* (* x x) 1/5040) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
(* (* x x) (/ x 6)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(/ x 6) |
(/.f64 x #s(literal 6 binary64)) |
6 |
#s(literal 6 binary64) |
(* (/ 1/2 (/ 3 x)) (* x x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(/ 1/2 (/ 3 x)) |
(/.f64 x #s(literal 6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
3 |
#s(literal 3 binary64) |
x |
(* x x) |
(*.f64 x x) |
(* x (* x (* (* (* x x) 1/120) x))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
x |
(* x (* (* (* x x) 1/120) x)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (* (* x x) 1/120) x) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* (* x x) 1/120) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* x x) |
(*.f64 x x) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* (* x x) (+ 1/6 (* x (* x 1/120))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
x |
(* (* x x) (+ 1/6 (* x (* x 1/120)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 1/6 (* x (* x 1/120))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x 1/120)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* x 1/120) |
(*.f64 x #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 3 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) |
| 154.0ms | 256× | 0 | valid |
Compiled 220 to 30 computations (86.4% saved)
ival-mult: 24.0ms (50.8% of total)...c/correct-round.rkt:119:19: 11.0ms (23.3% of total)ival-div: 7.0ms (14.8% of total)ival-add: 5.0ms (10.6% of total)const: 1.0ms (2.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) x)> |
#<alt (* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))> |
#<alt (* x x)> |
#<alt (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))> |
#<alt (* (* x x) (/ x 6))> |
#<alt (/ x 6)> |
#<alt (/ 1/2 (/ 3 x))> |
#<alt (* (/ 1/2 (/ 3 x)) (* x x))> |
#<alt (/ 3 x)> |
#<alt (* x (* x (* (* (* x x) 1/120) x)))> |
#<alt (* x (* (* (* x x) 1/120) x))> |
#<alt (* (* (* x x) 1/120) x)> |
#<alt (* (* x x) 1/120)> |
#<alt (* x (* (* x x) (+ 1/6 (* x (* x 1/120)))))> |
#<alt (* (* x x) (+ 1/6 (* x (* x 1/120))))> |
#<alt (+ 1/6 (* x (* x 1/120)))> |
#<alt (* (* x x) (+ 1/120 (* (* x x) 1/5040)))> |
#<alt (* (* x x) 1/5040)> |
#<alt (* x (* x 1/120))> |
#<alt (* x 1/120)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (/ 3 x)> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* x (* (* x x) (+ 1/6 (* x (* x 1/120))))) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) x) |
| 0.0ms | x | @ | 0 | (/ 3 x) |
| 0.0ms | x | @ | -inf | (/ 3 x) |
| 0.0ms | x | @ | inf | (/ 3 x) |
| 1× | batch-egg-rewrite |
| 2062× | *-lowering-*.f32 |
| 2062× | *-lowering-*.f64 |
| 1966× | /-lowering-/.f32 |
| 1966× | /-lowering-/.f64 |
| 1912× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 142 |
| 1 | 120 | 124 |
| 2 | 447 | 121 |
| 3 | 1595 | 119 |
| 4 | 5964 | 119 |
| 0 | 8117 | 119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) x) |
(* (* x x) (* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) |
(* x x) |
(* x (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))) |
(* (* x x) (/ x 6)) |
(/ x 6) |
(/ 1/2 (/ 3 x)) |
(* (/ 1/2 (/ 3 x)) (* x x)) |
(/ 3 x) |
(* x (* x (* (* (* x x) 1/120) x))) |
(* x (* (* (* x x) 1/120) x)) |
(* (* (* x x) 1/120) x) |
(* (* x x) 1/120) |
(* x (* (* x x) (+ 1/6 (* x (* x 1/120))))) |
(* (* x x) (+ 1/6 (* x (* x 1/120)))) |
(+ 1/6 (* x (* x 1/120))) |
(* (* x x) (+ 1/120 (* (* x x) 1/5040))) |
(* (* x x) 1/5040) |
(* x (* x 1/120)) |
(* x 1/120) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x) |
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
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(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(fma.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 x (/.f64 #s(literal -3 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(neg.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) x #s(literal 1/6 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1/120 binary64)))) |
(-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/120 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) |
(neg.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1/5040 binary64)))) |
(neg.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal 1/5040 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1/5040 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/5040 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) x) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1/120 binary64)))) |
(neg.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1/120 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/120 binary64))) |
(neg.f64 (*.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/120 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
| 1× | egg-herbie |
| 2774× | *-lowering-*.f32 |
| 2774× | *-lowering-*.f64 |
| 1792× | +-lowering-+.f64 |
| 1792× | +-lowering-+.f32 |
| 1112× | distribute-lft-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1536 |
| 1 | 271 | 1361 |
| 2 | 809 | 1351 |
| 3 | 2323 | 1345 |
| 4 | 4415 | 1345 |
| 0 | 8535 | 1345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(/ 3 x) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x x))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) |
(* 1/5040 (pow x 5)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/5040 (pow x 5)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
Compiled 20371 to 2109 computations (89.6% saved)
36 alts after pruning (27 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1271 | 15 | 1286 |
| Fresh | 6 | 12 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 1280 | 36 | 1316 |
| Status | Accuracy | Program |
|---|---|---|
| 35.9% | (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 36.2% | (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) | |
| 42.4% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x)) | |
| 36.2% | (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) | |
| 35.9% | (/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) | |
| 35.9% | (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) | |
| 35.9% | (/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) | |
| 80.4% | (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 92.4% | (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x x))) x) | |
| 92.4% | (+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (/.f64 #s(literal 1 binary64) x))) x) | |
| 92.4% | (+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (-.f64 (/.f64 x #s(literal -6 binary64)) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x) | |
| 91.9% | (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) | |
| 92.2% | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) | |
| 35.9% | (*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) | |
| ✓ | 35.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
| 42.6% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) | |
| 42.4% | (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) | |
| ✓ | 35.9% | (*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
| 42.4% | (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) | |
| 42.4% | (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) | |
| 42.4% | (*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) | |
| ✓ | 80.4% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
| 92.4% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) | |
| 92.4% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) | |
| ✓ | 87.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | 92.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
| 92.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) | |
| 92.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) | |
| 42.4% | (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) | |
| 35.9% | (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) | |
| 42.4% | (*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) | |
| ✓ | 42.4% | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
| 42.4% | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) | |
| ✓ | 42.4% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 50.0% | x |
Compiled 1192 to 493 computations (58.6% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x x))) x) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (-.f64 (/.f64 x #s(literal -6 binary64)) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x) |
(sinh.f64 x) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(sinh.f64 x) |
3 calls:
| 15.0ms | x |
| 14.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 100.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x x))) x) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (-.f64 (/.f64 x #s(literal -6 binary64)) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
1 calls:
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
1 calls:
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/120 binary64)) x))) |
| Outputs |
|---|
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)))) |
| Outputs |
|---|
x |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) |
| Outputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.6821384908898747 | 116.60067571442227 |
| 9.0ms | 112× | 0 | valid |
Compiled 195 to 129 computations (33.8% saved)
ival-exp: 2.0ms (46.6% of total)ival-sub: 1.0ms (23.3% of total)ival-div: 1.0ms (23.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.6821384908898747 | 116.60067571442227 |
| 9.0ms | 112× | 0 | valid |
Compiled 181 to 115 computations (36.5% saved)
ival-exp: 3.0ms (54.6% of total)ival-sub: 1.0ms (18.2% of total)ival-div: 1.0ms (18.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.6821384908898747 | 116.60067571442227 |
| 8.0ms | 112× | 0 | valid |
Compiled 97 to 66 computations (32% saved)
ival-exp: 2.0ms (46.3% of total)ival-sub: 1.0ms (23.1% of total)ival-div: 1.0ms (23.1% of total)ival-neg: 1.0ms (23.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.6821384908898747 | 116.60067571442227 |
| 9.0ms | 112× | 0 | valid |
Compiled 97 to 66 computations (32% saved)
ival-exp: 2.0ms (46% of total)ival-sub: 1.0ms (23% of total)ival-div: 1.0ms (23% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
| 80× | *-commutative_binary64 |
| 42× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 222 |
| 1 | 133 | 222 |
| 2 | 155 | 222 |
| 3 | 165 | 222 |
| 4 | 171 | 222 |
| 5 | 172 | 222 |
| 1× | saturated |
| Inputs |
|---|
(sinh.f64 x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(if (<=.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(if (<=.f64 x #s(literal 5/2 binary64)) x (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 5/2 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
x |
| Outputs |
|---|
(sinh.f64 x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) x) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) x) |
(+.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(if (<=.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(if (<=.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(if (<=.f64 x #s(literal 5/2 binary64)) x (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 5/2 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
x |
| 3924× | *-lowering-*.f32 |
| 3924× | *-lowering-*.f64 |
| 2774× | *-lowering-*.f32 |
| 2774× | *-lowering-*.f64 |
| 2760× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 321 |
| 1 | 222 | 288 |
| 2 | 671 | 285 |
| 3 | 1940 | 285 |
| 4 | 2948 | 285 |
| 5 | 5496 | 285 |
| 6 | 6286 | 285 |
| 0 | 8188 | 285 |
| 0 | 7 | 17 |
| 1 | 29 | 13 |
| 2 | 99 | 13 |
| 3 | 539 | 13 |
| 4 | 3605 | 13 |
| 0 | 8203 | 13 |
| 0 | 81 | 1536 |
| 1 | 271 | 1361 |
| 2 | 809 | 1351 |
| 3 | 2323 | 1345 |
| 4 | 4415 | 1345 |
| 0 | 8535 | 1345 |
| 0 | 69 | 1196 |
| 1 | 217 | 964 |
| 2 | 616 | 958 |
| 3 | 2705 | 934 |
| 4 | 6394 | 934 |
| 0 | 8329 | 934 |
| 0 | 90 | 1762 |
| 1 | 301 | 1497 |
| 2 | 913 | 1482 |
| 3 | 2771 | 1478 |
| 4 | 6572 | 1478 |
| 0 | 8040 | 1478 |
| 0 | 23 | 91 |
| 1 | 84 | 84 |
| 2 | 257 | 80 |
| 3 | 861 | 78 |
| 4 | 2896 | 78 |
| 0 | 8161 | 78 |
| 0 | 31 | 161 |
| 1 | 110 | 143 |
| 2 | 367 | 136 |
| 3 | 1141 | 136 |
| 4 | 3659 | 136 |
| 0 | 8307 | 136 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 625 to 332 computations (46.9% saved)
(negabs x)
Compiled 494 to 176 computations (64.4% saved)
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