
Time bar (total: 12.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 3 |
| 87.5% | 43.7% | 6.2% | 50% | 0% | 0% | 0% | 4 |
| 93.8% | 46.8% | 3.1% | 50% | 0% | 0% | 0% | 5 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 6 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 7 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 8 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 9 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 10 |
| 99.9% | 49.9% | 0% | 50% | 0% | 0% | 0% | 11 |
| 100% | 49.9% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-tan: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-<=: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)| 3.1s | 5468× | 2 | valid |
| 618.0ms | 2676× | 1 | valid |
| 9.0ms | 112× | 0 | valid |
ival-sin: 2.2s (68.4% of total)ival-div: 315.0ms (9.8% of total)backward-pass: 267.0ms (8.3% of total)ival-sub: 172.0ms (5.3% of total)ival-tan: 159.0ms (4.9% of total)ival-<=: 82.0ms (2.5% of total)const: 12.0ms (0.4% of total)ival-and: 11.0ms (0.3% of total)| 2× | egg-herbie |
| 1088× | sum4-define |
| 894× | sum3-define |
| 752× | fnmadd-define |
| 618× | fma-define |
| 438× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 32 | 22 |
| 2 | 83 | 21 |
| 3 | 244 | 21 |
| 4 | 742 | 21 |
| 5 | 1550 | 21 |
| 6 | 2772 | 21 |
| 7 | 2810 | 21 |
| 8 | 3051 | 21 |
| 9 | 3067 | 21 |
| 10 | 3067 | 21 |
| 11 | 3069 | 21 |
| 0 | 5 | 7 |
| 1 | 10 | 7 |
| 2 | 17 | 7 |
| 3 | 30 | 7 |
| 4 | 58 | 7 |
| 5 | 108 | 7 |
| 6 | 210 | 7 |
| 7 | 394 | 7 |
| 8 | 814 | 7 |
| 9 | 1586 | 7 |
| 10 | 1967 | 7 |
| 11 | 2005 | 7 |
| 12 | 2374 | 7 |
| 13 | 2390 | 7 |
| 0 | 2390 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- x (sin x)) (tan x)) |
| Outputs |
|---|
(/ (- x (sin x)) (tan x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Inputs |
|---|
(/ (- x (sin x)) (tan x)) |
(/ (- (neg x) (sin (neg x))) (tan (neg x))) |
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x)))) |
| Outputs |
|---|
(/ (- x (sin x)) (tan x)) |
(/ (- (neg x) (sin (neg x))) (tan (neg x))) |
(/ (- x (sin x)) (tan x)) |
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x)))) |
(/ (- (sin x) x) (tan x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 81 | 1 | (4.136928393674923e-108) | 0 | - | (-.f64 x (sin.f64 x)) |
| 46 | 2 | (5.930065327023334e-162) | 4 | (5.91659177652156e-106) | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | (tan.f64 x) |
| 166.0ms | 348× | 2 | valid |
| 28.0ms | 160× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 44 to 17 computations (61.4% saved)
ival-sin: 112.0ms (72.5% of total)backward-pass: 14.0ms (9.1% of total)ival-div: 10.0ms (6.5% of total)ival-sub: 9.0ms (5.8% of total)ival-tan: 9.0ms (5.8% of total)const: 0.0ms (0% of total)Compiled 8 to 5 computations (37.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.1% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (tan.f64 x) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 x (sin.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 438× | fnmadd-define |
| 416× | sum4-define |
| 416× | sum5-define |
| 392× | fmsub-define |
| 388× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 1 | 10 | 16 |
| 2 | 17 | 16 |
| 3 | 30 | 16 |
| 4 | 58 | 16 |
| 5 | 108 | 16 |
| 6 | 210 | 16 |
| 7 | 394 | 16 |
| 8 | 814 | 16 |
| 9 | 1586 | 16 |
| 10 | 1967 | 16 |
| 11 | 2005 | 16 |
| 12 | 2374 | 16 |
| 13 | 2390 | 16 |
| 0 | 2390 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- x (sin x)) (tan x)) |
(- x (sin x)) |
x |
(sin x) |
(tan x) |
| Outputs |
|---|
(/ (- x (sin x)) (tan x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(- x (sin x)) |
(-.f64 x (sin.f64 x)) |
x |
(sin x) |
(sin.f64 x) |
(tan x) |
(tan.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (tan.f64 x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 85.3% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| ✓ | accuracy | 71.6% | (-.f64 x (sin.f64 x)) |
| 78.0ms | 174× | 2 | valid |
| 13.0ms | 80× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 18 to 6 computations (66.7% saved)
ival-sin: 52.0ms (73.2% of total)backward-pass: 6.0ms (8.4% of total)ival-div: 5.0ms (7% of total)ival-sub: 4.0ms (5.6% of total)ival-tan: 4.0ms (5.6% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- x (sin x)) (tan x))> |
#<alt (- x (sin x))> |
#<alt (sin x)> |
#<alt (tan x)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))> |
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))> |
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))> |
#<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) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))> |
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))> |
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (sin x) x) 1)))> |
#<alt (* -1 (* x (- (/ (sin x) x) 1)))> |
#<alt (* -1 (* x (- (/ (sin x) x) 1)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- x (sin x)) (tan x)) |
| 1.0ms | x | @ | -inf | (/ (- x (sin x)) (tan x)) |
| 0.0ms | x | @ | 0 | (/ (- x (sin x)) (tan x)) |
| 0.0ms | x | @ | inf | (tan x) |
| 0.0ms | x | @ | -inf | (tan x) |
| 1× | batch-egg-rewrite |
| 3116× | *-lowering-*.f32 |
| 3116× | *-lowering-*.f64 |
| 2236× | /-lowering-/.f32 |
| 2236× | /-lowering-/.f64 |
| 1840× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 1 | 33 | 15 |
| 2 | 274 | 15 |
| 3 | 3332 | 15 |
| 0 | 8271 | 15 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- x (sin x)) (tan x)) |
(- x (sin x)) |
(sin x) |
(tan x) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(+.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 x (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 x (tan.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 x (tan.f64 x))) |
(+.f64 (*.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) |
(-.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (tan.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (tan.f64 x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (tan.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))) |
(-.f64 (/.f64 (*.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -2 binary64)) (+.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) |
(fma.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (tan.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (tan.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) |
(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) |
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x)))) |
(*.f64 (+.f64 x (sin.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))) |
(*.f64 #s(literal -1 binary64) (-.f64 (sin.f64 x) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 x) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (tan.f64 x))) |
(tan.f64 x) |
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (tan.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) |
(pow.f64 (tan.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
| 1× | egg-herbie |
| 4046× | *-lowering-*.f32 |
| 4046× | *-lowering-*.f64 |
| 3202× | +-lowering-+.f64 |
| 3202× | +-lowering-+.f32 |
| 1432× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 401 |
| 1 | 317 | 344 |
| 2 | 977 | 332 |
| 3 | 3159 | 302 |
| 4 | 6705 | 296 |
| 0 | 8243 | 296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(/ (* x (cos x)) (sin x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 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 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(*.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)))))))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (sin.f64 x)) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (sin.f64 x)) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (sin.f64 x)) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (sin.f64 x)) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (sin.f64 x)) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (sin.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 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.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) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.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))))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
Compiled 10821 to 1059 computations (90.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 10 | 455 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 446 | 10 | 456 |
| Status | Accuracy | Program |
|---|---|---|
| 4.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x))) | |
| 56.0% | (/.f64 (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x)) | |
| ▶ | 85.0% | (/.f64 (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) |
| ▶ | 85.1% | (/.f64 (*.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)))))))) (tan.f64 x)) |
| 84.5% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) | |
| 56.1% | (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) | |
| ▶ | 99.5% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
| 99.4% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) | |
| ▶ | 99.6% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
| ▶ | 99.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
Compiled 338 to 210 computations (37.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) |
| ✓ | 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 (*.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 (*.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)))))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.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)))))))) (tan.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 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 -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
| 2594× | *-lowering-*.f32 |
| 2594× | *-lowering-*.f64 |
| 2586× | sum3-define |
| 2096× | fma-define |
| 1800× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 398 |
| 1 | 158 | 345 |
| 2 | 618 | 345 |
| 3 | 1851 | 345 |
| 4 | 4454 | 345 |
| 5 | 6087 | 345 |
| 6 | 7082 | 345 |
| 7 | 7579 | 345 |
| 8 | 7652 | 345 |
| 9 | 7658 | 345 |
| 10 | 7658 | 345 |
| 0 | 8429 | 345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) |
x |
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) |
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) |
1/6 |
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) |
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) |
-23/360 |
(* (* x x) (+ -11/15120 (* (* x x) -143/604800))) |
(* x x) |
(+ -11/15120 (* (* x x) -143/604800)) |
-11/15120 |
(* (* x x) -143/604800) |
-143/604800 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) |
(* x x) |
x |
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))) |
1/6 |
(* x (* x (+ -23/360 (* (* x x) -11/15120)))) |
(* x (+ -23/360 (* (* x x) -11/15120))) |
(+ -23/360 (* (* x x) -11/15120)) |
-23/360 |
(* (* x x) -11/15120) |
-11/15120 |
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan 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 (+ 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))) |
(* x x) |
(+ -1/120 (* (* x x) 1/5040)) |
-1/120 |
(* (* x x) 1/5040) |
1/5040 |
(tan x) |
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x)) |
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) |
(* x (* x x)) |
x |
(* x x) |
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))) |
1/6 |
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) |
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))) |
-1/120 |
(* (* x x) (+ 1/5040 (* (* x x) -1/362880))) |
(+ 1/5040 (* (* x x) -1/362880)) |
1/5040 |
(* (* x x) -1/362880) |
-1/362880 |
(tan x) |
| Outputs |
|---|
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
x |
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) |
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
-23/360 |
#s(literal -23/360 binary64) |
(* (* x x) (+ -11/15120 (* (* x x) -143/604800))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ -11/15120 (* (* x x) -143/604800)) |
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* (* x x) -143/604800) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
-143/604800 |
#s(literal -143/604800 binary64) |
(* 1/6 (* x x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (+ -23/360 (* (* x x) -11/15120)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) |
(* x (+ -23/360 (* (* x x) -11/15120))) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) |
(+ -23/360 (* (* x x) -11/15120)) |
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) |
-23/360 |
#s(literal -23/360 binary64) |
(* (* x x) -11/15120) |
(*.f64 x (*.f64 x #s(literal -11/15120 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x)) |
(*.f64 x (*.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 (*.f64 x x) (tan.f64 x)))) |
(* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) |
(*.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 |
(* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))) |
(*.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 (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))) |
(*.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)))))) |
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))) |
(+.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))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ -1/120 (* (* x x) 1/5040))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ -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) |
(tan x) |
(tan.f64 x) |
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (/.f64 (*.f64 x (*.f64 x x)) (tan.f64 x))) |
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))) |
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))) |
(+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) |
-1/120 |
#s(literal -1/120 binary64) |
(* (* x x) (+ 1/5040 (* (* x x) -1/362880))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))) |
(+ 1/5040 (* (* x x) -1/362880)) |
(+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))) |
1/5040 |
#s(literal 1/5040 binary64) |
(* (* x x) -1/362880) |
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64)) |
-1/362880 |
#s(literal -1/362880 binary64) |
(tan x) |
(tan.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)) |
| ✓ | accuracy | 85.3% | (/.f64 (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) |
| ✓ | accuracy | 99.8% | (*.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))))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
| ✓ | accuracy | 99.5% | (*.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 | 85.3% | (/.f64 (*.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)))))))) (tan.f64 x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
| ✓ | accuracy | 99.3% | (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
| ✓ | accuracy | 99.3% | (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
| 143.0ms | 256× | 0 | valid |
Compiled 478 to 44 computations (90.8% saved)
ival-mult: 39.0ms (44% of total)...c/correct-round.rkt:119:19: 29.0ms (32.7% of total)ival-add: 13.0ms (14.7% of total)ival-div: 5.0ms (5.6% of total)ival-tan: 2.0ms (2.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))> |
#<alt (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))> |
#<alt (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))> |
#<alt (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))> |
#<alt (* 1/6 (* x x))> |
#<alt (* x x)> |
#<alt (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))> |
#<alt (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))> |
#<alt (* x (* x (+ -23/360 (* (* x x) -11/15120))))> |
#<alt (/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x))> |
#<alt (* x (* 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 (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))> |
#<alt (/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))> |
#<alt (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))> |
#<alt (* x (* x x))> |
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))> |
#<alt (* (* x x) -143/604800)> |
#<alt (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))> |
#<alt (* x (+ -23/360 (* (* x x) -11/15120)))> |
#<alt (* (* x x) -11/15120)> |
#<alt (* (* x x) (+ -1/120 (* (* x x) 1/5040)))> |
#<alt (* (* x x) -1/362880)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<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 (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* -11/15120 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))> |
#<alt (* -11/15120 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* -11/15120 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x)))))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))> |
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))))> |
#<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) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<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 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (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 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<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 (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<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 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))> |
#<alt (* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))> |
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))> |
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))> |
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))))> |
#<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) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))> |
#<alt (* -1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* -1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))> |
#<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 (* -23/360 x)> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* -143/604800 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -143/604800 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -23/360 x)> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* -11/15120 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -1/120 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))> |
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))> |
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))> |
#<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 (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
#<alt (* -1/362880 (pow x 2))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (* x (* x (+ -23/360 (* (* x x) -11/15120)))) |
| 1.0ms | x | @ | inf | (/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x)) |
| 1.0ms | x | @ | 0 | (* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) |
| 1.0ms | x | @ | -inf | (/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x)) |
| 1.0ms | x | @ | inf | (/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x)) |
| 1× | batch-egg-rewrite |
| 3568× | fma-lowering-fma.f32 |
| 3568× | fma-lowering-fma.f64 |
| 3212× | *-lowering-*.f32 |
| 3212× | *-lowering-*.f64 |
| 2002× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 266 |
| 1 | 296 | 229 |
| 2 | 2752 | 229 |
| 0 | 8880 | 229 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) |
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) |
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) |
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) |
(* 1/6 (* x x)) |
(* x x) |
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) |
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))) |
(* x (* x (+ -23/360 (* (* x x) -11/15120)))) |
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x)) |
(* x (* 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 (+ 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) -1/362880))))))) (tan x)) |
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) |
(* x (* x x)) |
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(* (* x x) -143/604800) |
(* (* x x) (+ -11/15120 (* (* x x) -143/604800))) |
(* x (+ -23/360 (* (* x x) -11/15120))) |
(* (* x x) -11/15120) |
(* (* x x) (+ -1/120 (* (* x x) 1/5040))) |
(* (* x x) -1/362880) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x))) |
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x 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) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64)) |
(*.f64 #s(literal -1/362880 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/362880 binary64)) x) |
| 1× | egg-herbie |
| 6366× | *-lowering-*.f32 |
| 6366× | *-lowering-*.f64 |
| 3144× | +-lowering-+.f64 |
| 3144× | +-lowering-+.f32 |
| 1406× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 2956 |
| 1 | 822 | 2609 |
| 2 | 2945 | 2484 |
| 0 | 8202 | 2484 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* 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) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x))))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))) |
(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x))) |
(* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))) |
(* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))) |
(* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* 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)) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* 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))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/120 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* 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)) |
(* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))) |
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))) |
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x)))))))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x)))))) |
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))) |
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(* -1/362880 (pow x 9)) |
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* -1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(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) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* -11/15120 (pow x 3)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 3)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -11/15120 (pow x 2)) |
(* -1/120 (pow x 2)) |
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)) |
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)) |
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)) |
(* 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))))) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
(* -1/362880 (pow x 2)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(* -143/604800 (pow x 6)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -143/604800 (pow x 6)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -23/360 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -23/360 binary64))) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(* -143/604800 (pow x 6)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 6 binary64))) |
(* -143/604800 (pow x 6)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.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 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(* -11/15120 (pow x 6)) |
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* -11/15120 (pow x 6)) |
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) |
(* -11/15120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* -11/15120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
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(*.f64 (*.f64 x (*.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))))))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))) |
(* -1/362880 (pow x 9)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/362880 (pow x 9)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(* -143/604800 (pow x 5)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 5 binary64))) |
(* -143/604800 (pow x 5)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(* -143/604800 (pow x 4)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -143/604800 (pow x 4)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* -11/15120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -11/15120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/120 binary64))) |
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(* 1/5040 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/5040 binary64)) |
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/5040 binary64)) |
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
(* -1/362880 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/362880 binary64))) |
Compiled 28239 to 2487 computations (91.2% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 930 | 13 | 943 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 932 | 21 | 953 |
| Status | Accuracy | Program |
|---|---|---|
| 4.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x))) | |
| 56.0% | (/.f64 (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x)) | |
| 84.9% | (/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) | |
| 99.4% | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) | |
| 99.3% | (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64))))) | |
| ✓ | 85.0% | (/.f64 (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) |
| ✓ | 85.1% | (/.f64 (*.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)))))))) (tan.f64 x)) |
| 84.6% | (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x)) | |
| 56.1% | (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) | |
| 99.5% | (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 17.4% | (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) | |
| 99.5% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x)) | |
| 99.5% | (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))))) | |
| ✓ | 99.5% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
| 99.4% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) | |
| ▶ | 99.0% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ▶ | 33.5% | (*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))) |
| ▶ | 99.6% | (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
| ▶ | 99.6% | (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))) |
| ▶ | 99.6% | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | 99.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
Compiled 1400 to 549 computations (60.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 1408 | (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
| ✓ | cost-diff | 1664 | (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) |
| ✓ | cost-diff | 2048 | (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) |
| ✓ | cost-diff | 2048 | (*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
| 3272× | *-lowering-*.f32 |
| 3272× | *-lowering-*.f64 |
| 1870× | sum4-define |
| 1448× | sum3-define |
| 1268× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 1284 |
| 1 | 170 | 922 |
| 2 | 768 | 889 |
| 3 | 4983 | 889 |
| 0 | 8009 | 889 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
x |
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) |
(- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
1/36 |
(* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(* x x) |
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
-23/360 |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(+ -11/15120 (* (* x x) -143/604800)) |
-11/15120 |
(* (* x x) -143/604800) |
-143/604800 |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
1/6 |
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(* x (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6))) |
x |
(+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6)) |
(* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(* x x) |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
-23/360 |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(+ -11/15120 (* (* x x) -143/604800)) |
-11/15120 |
(* (* x x) -143/604800) |
-143/604800 |
(* x 1/6) |
1/6 |
(* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))) |
x |
(/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))) |
(* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) |
(+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) |
1/216 |
(* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(* x x) |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
-23/360 |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(+ -11/15120 (* (* x x) -143/604800)) |
-11/15120 |
(* (* x x) -143/604800) |
-143/604800 |
(* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))) |
1/36 |
(* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)) |
(- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6) |
1/6 |
(* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))))) |
x |
(/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))) |
(+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) |
(* (* x (* x x)) 1/216) |
(* x (* x x)) |
(* x x) |
1/216 |
(* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
-23/360 |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(+ -11/15120 (* (* x x) -143/604800)) |
-11/15120 |
(* (* x x) -143/604800) |
-143/604800 |
(* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) |
(* (* x 1/6) (* x 1/6)) |
(* x 1/6) |
1/6 |
(- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
| Outputs |
|---|
(* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
x |
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) |
(*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) |
(- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(* x x) |
(*.f64 x x) |
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
-23/360 |
#s(literal -23/360 binary64) |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(+ -11/15120 (* (* x x) -143/604800)) |
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* (* x x) -143/604800) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
-143/604800 |
#s(literal -143/604800 binary64) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x 1/6) x) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(* x (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))) |
x |
(+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6)) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))) |
(* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
-23/360 |
#s(literal -23/360 binary64) |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(+ -11/15120 (* (* x x) -143/604800)) |
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* (* x x) -143/604800) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
-143/604800 |
#s(literal -143/604800 binary64) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64))))) |
x |
(/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64))))) |
(* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) |
(*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) |
(+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) |
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) |
1/216 |
#s(literal 1/216 binary64) |
(* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
-23/360 |
#s(literal -23/360 binary64) |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(+ -11/15120 (* (* x x) -143/604800)) |
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* (* x x) -143/604800) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
-143/604800 |
#s(literal -143/604800 binary64) |
(* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64))) |
(- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))) (*.f64 x #s(literal 1/36 binary64))))) |
x |
(/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))) (*.f64 x #s(literal 1/36 binary64))))) |
(+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) |
(* (* x (* x x)) 1/216) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/216 binary64)))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
1/216 |
#s(literal 1/216 binary64) |
(* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
-23/360 |
#s(literal -23/360 binary64) |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(+ -11/15120 (* (* x x) -143/604800)) |
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* (* x x) -143/604800) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
-143/604800 |
#s(literal -143/604800 binary64) |
(* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) |
(+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))) (*.f64 x #s(literal 1/36 binary64)))) |
(* (* x 1/6) (* x 1/6)) |
(*.f64 x (*.f64 x #s(literal 1/36 binary64))) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64))))) |
(* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 33.1% | (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | accuracy | 99.6% | (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | accuracy | 99.4% | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
| 175.0ms | 256× | 0 | valid |
Compiled 1812 to 46 computations (97.5% saved)
ival-mult: 43.0ms (51.2% of total)...c/correct-round.rkt:119:19: 22.0ms (26.2% of total)ival-add: 9.0ms (10.7% of total)ival-sub: 5.0ms (6% of total)ival-div: 5.0ms (6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))> |
#<alt (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))> |
#<alt (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x)> |
#<alt (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))> |
#<alt (* (* x 1/6) x)> |
#<alt (* x 1/6)> |
#<alt (* x (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6)))> |
#<alt (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6))> |
#<alt (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))> |
#<alt (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))> |
#<alt (* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))> |
#<alt (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))> |
#<alt (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x)> |
#<alt (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))> |
#<alt (* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))))> |
#<alt (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))))> |
#<alt (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))> |
#<alt (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))> |
#<alt (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))> |
#<alt (* x (+ -11/15120 (* (* x x) -143/604800)))> |
#<alt (* (* x x) -143/604800)> |
#<alt (* (* x 1/6) (* x 1/6))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/36 x)> |
#<alt (* x (+ 1/36 (* -529/129600 (pow x 4))))> |
#<alt (* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))> |
#<alt (* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))))> |
#<alt (* -20449/365783040000 (pow x 13))> |
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 13) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))> |
#<alt (* (pow x 13) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* -20449/365783040000 (pow x 13))> |
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))))> |
#<alt 1/36> |
#<alt (+ 1/36 (* -529/129600 (pow x 4)))> |
#<alt (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))> |
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))> |
#<alt (* -20449/365783040000 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* -20449/365783040000 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 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 (* 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 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -23/360 (pow x 3))> |
#<alt (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/216 x)> |
#<alt (* x (+ 1/216 (* -12167/46656000 (pow x 6))))> |
#<alt (* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))> |
#<alt (* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000))))> |
#<alt (* -2924207/221225582592000000 (pow x 19))> |
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 19) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))> |
#<alt (* (pow x 19) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))> |
#<alt (* -2924207/221225582592000000 (pow x 19))> |
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (* 224939/1843546521600000 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (+ (* 224939/1843546521600000 (/ 1 (pow x 2))) (* 2292587/34566497280000 (/ 1 (pow x 6))))))))> |
#<alt 1/216> |
#<alt (+ 1/216 (* -12167/46656000 (pow x 6)))> |
#<alt (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))> |
#<alt (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000)))> |
#<alt (* -2924207/221225582592000000 (pow x 18))> |
#<alt (* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))> |
#<alt (* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))> |
#<alt (* -2924207/221225582592000000 (pow x 18))> |
#<alt (* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))> |
#<alt (* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/36 (* 23/2160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2))))))))> |
#<alt (* 20449/365783040000 (pow x 14))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))> |
#<alt (* 20449/365783040000 (pow x 14))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))> |
#<alt (* 23/2160 (pow x 4))> |
#<alt (* (pow x 4) (+ 23/2160 (* 1271/302400 (pow x 2))))> |
#<alt (* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 1441/10886400 (* 70279/2286144000 (pow x 2))))))))> |
#<alt (* 20449/365783040000 (pow x 14))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))> |
#<alt (* 20449/365783040000 (pow x 14))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))> |
#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))> |
#<alt (* 20449/365783040000 (pow x 10))> |
#<alt (* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))> |
#<alt (* 20449/365783040000 (pow x 10))> |
#<alt (* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))> |
#<alt (* -11/15120 x)> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* -143/604800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -143/604800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
| 1.0ms | x | @ | inf | (* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))))) |
| 1.0ms | x | @ | inf | (* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))) |
| 0.0ms | x | @ | inf | (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) |
| 0.0ms | x | @ | 0 | (* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
| 1× | batch-egg-rewrite |
| 3854× | *-lowering-*.f32 |
| 3854× | *-lowering-*.f64 |
| 1574× | fma-lowering-fma.f32 |
| 1574× | fma-lowering-fma.f64 |
| 1540× | unpow-prod-down |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 782 |
| 1 | 333 | 383 |
| 2 | 3361 | 373 |
| 0 | 8165 | 373 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) |
(* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) |
(- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(* (* x 1/6) x) |
(* x 1/6) |
(* x (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6))) |
(+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6)) |
(* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))) |
(/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))) |
(* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) |
(+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) |
(* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))))) |
(/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))) |
(+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) |
(- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) |
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(* (* x x) -143/604800) |
(* (* x 1/6) (* x 1/6)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))))))))) |
(/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))))))) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/36 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))))))) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/36 binary64))) x) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))))))))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))) |
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(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (+.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
(pow.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (*.f64 x #s(literal -11/15120 binary64))) |
(fma.f64 x #s(literal -11/15120 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(fma.f64 #s(literal -11/15120 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (-.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64))))) (+.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20449/365783040000 binary64)))) (+.f64 #s(literal -11/15120 binary64) (*.f64 #s(literal 143/604800 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64)))) x) (+.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20449/365783040000 binary64))) x) (+.f64 #s(literal -11/15120 binary64) (*.f64 #s(literal 143/604800 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) x) |
(*.f64 x (*.f64 x #s(literal -143/604800 binary64))) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -143/604800 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 #s(literal 1/36 binary64) x)) |
(*.f64 x (*.f64 x #s(literal 1/36 binary64))) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x) |
| 1× | egg-herbie |
| 5594× | *-lowering-*.f32 |
| 5594× | *-lowering-*.f64 |
| 3456× | +-lowering-+.f64 |
| 3456× | +-lowering-+.f32 |
| 1382× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 270 | 3087 |
| 1 | 863 | 2694 |
| 2 | 2894 | 2624 |
| 3 | 7580 | 2624 |
| 0 | 8063 | 2624 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/36 x) |
(* x (+ 1/36 (* -529/129600 (pow x 4)))) |
(* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))) |
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))) |
(* -20449/365783040000 (pow x 13)) |
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 13) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)) |
(* (pow x 13) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* -20449/365783040000 (pow x 13)) |
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))) |
1/36 |
(+ 1/36 (* -529/129600 (pow x 4))) |
(+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))) |
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))) |
(* -20449/365783040000 (pow x 12)) |
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)) |
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* -20449/365783040000 (pow x 12)) |
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)) |
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 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)) |
(* 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 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/216 x) |
(* x (+ 1/216 (* -12167/46656000 (pow x 6)))) |
(* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000)))) |
(* -2924207/221225582592000000 (pow x 19)) |
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2)))))) |
(* (pow x 19) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000)) |
(* (pow x 19) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2)))))) |
(* -2924207/221225582592000000 (pow x 19)) |
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (* 224939/1843546521600000 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (+ (* 224939/1843546521600000 (/ 1 (pow x 2))) (* 2292587/34566497280000 (/ 1 (pow x 6)))))))) |
1/216 |
(+ 1/216 (* -12167/46656000 (pow x 6))) |
(+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))) |
(+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000))) |
(* -2924207/221225582592000000 (pow x 18)) |
(* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2)))))) |
(* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000)) |
(* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2)))))) |
(* -2924207/221225582592000000 (pow x 18)) |
(* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2)))))) |
(* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000)) |
(* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/36 (pow x 2)) |
(* (pow x 2) (+ 1/36 (* 23/2160 (pow x 2)))) |
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2)))))) |
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2)))))))) |
(* 20449/365783040000 (pow x 14)) |
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6))))))) |
(* 20449/365783040000 (pow x 14)) |
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6))))))) |
(* 23/2160 (pow x 4)) |
(* (pow x 4) (+ 23/2160 (* 1271/302400 (pow x 2)))) |
(* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2)))))) |
(* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 1441/10886400 (* 70279/2286144000 (pow x 2)))))))) |
(* 20449/365783040000 (pow x 14)) |
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6))))))) |
(* 20449/365783040000 (pow x 14)) |
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6))))))) |
(* 529/129600 (pow x 2)) |
(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2)))) |
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2)))))) |
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2)))))))) |
(* 20449/365783040000 (pow x 10)) |
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))) |
(* 20449/365783040000 (pow x 10)) |
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))) |
(* -11/15120 x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* x (+ 1/36 (* -529/129600 (pow x 4)))) |
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64)))) |
(* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))) |
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64)))))) |
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))) |
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -253/2721600 binary64) (*.f64 x (*.f64 x #s(literal -70279/2286144000 binary64))))))))) |
(* -20449/365783040000 (pow x 13)) |
(*.f64 #s(literal -20449/365783040000 binary64) (pow.f64 x #s(literal 13 binary64))) |
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 #s(literal -1573/4572288000 binary64) (*.f64 x x)))) |
(* (pow x 13) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 (+.f64 #s(literal -1573/4572288000 binary64) (/.f64 #s(literal -70279/2286144000 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 13) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
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(* -143/604800 (pow x 8)) |
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(* -143/604800 (pow x 7)) |
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(* -143/604800 (pow x 7)) |
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1/216 |
#s(literal 1/216 binary64) |
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(+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000))) |
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(* -2924207/221225582592000000 (pow x 18)) |
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(* -2924207/221225582592000000 (pow x 18)) |
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(* 1/6 (pow x 2)) |
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(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
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(* -143/604800 (pow x 8)) |
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(* -143/604800 (pow x 8)) |
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(* 1/6 x) |
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(* x (+ 1/6 (* -23/360 (pow x 2)))) |
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(* -143/604800 (pow x 7)) |
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(* -143/604800 (pow x 7)) |
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(* 1/36 (pow x 2)) |
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(* (pow x 2) (+ 1/36 (* 23/2160 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x #s(literal 23/2160 binary64))))) |
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2)))))) |
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(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 23/2160 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1271/302400 binary64) (*.f64 (*.f64 x x) #s(literal 1441/10886400 binary64)))))))) |
(* 20449/365783040000 (pow x 14)) |
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1441/10886400 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 20449/365783040000 (pow x 14)) |
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1441/10886400 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 23/2160 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 23/2160 binary64))) |
(* (pow x 4) (+ 23/2160 (* 1271/302400 (pow x 2)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 23/2160 binary64) (*.f64 (*.f64 x x) #s(literal 1271/302400 binary64))))) |
(* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 23/2160 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1271/302400 binary64) (*.f64 (*.f64 x x) #s(literal 1441/10886400 binary64)))))))) |
(* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 1441/10886400 (* 70279/2286144000 (pow x 2)))))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 23/2160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1271/302400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1441/10886400 binary64) (*.f64 (*.f64 x x) #s(literal 70279/2286144000 binary64))))))))) |
(* 20449/365783040000 (pow x 14)) |
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1441/10886400 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 20449/365783040000 (pow x 14)) |
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 14 binary64))) |
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1441/10886400 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/2721600 binary64)))) |
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 253/2721600 binary64) (*.f64 (*.f64 x x) #s(literal 70279/2286144000 binary64)))))) |
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 253/2721600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) #s(literal 1573/4572288000 binary64)))))))) |
(* 20449/365783040000 (pow x 10)) |
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 10 binary64))) |
(* 20449/365783040000 (pow x 10)) |
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 10 binary64))) |
(* -11/15120 x) |
(*.f64 x #s(literal -11/15120 binary64)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(* -143/604800 (pow x 3)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -143/604800 (pow x 3)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
Compiled 219622 to 5159 computations (97.7% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2023 | 7 | 2030 |
| Fresh | 6 | 6 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2033 | 18 | 2051 |
| Status | Accuracy | Program |
|---|---|---|
| 4.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x))) | |
| ▶ | 56.0% | (/.f64 (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x)) |
| ▶ | 99.4% | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
| ✓ | 85.0% | (/.f64 (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) |
| ✓ | 85.1% | (/.f64 (*.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)))))))) (tan.f64 x)) |
| 99.5% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) | |
| 56.1% | (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) | |
| 99.5% | (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 99.6% | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)) |
| ▶ | 99.5% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x)) |
| 99.6% | (*.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) | |
| ▶ | 99.4% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
| ✓ | 99.5% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
| ✓ | 99.0% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 99.4% | (*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) | |
| 99.5% | (*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))) | |
| 99.5% | (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) | |
| ✓ | 99.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
Compiled 862 to 433 computations (49.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 (*.f64 x 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 (*.f64 x x) #s(literal -1/5040 binary64))))))))) |
| ✓ | cost-diff | 128 | (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
| ✓ | 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 -23/360 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)) |
| 4944× | *-lowering-*.f32 |
| 4944× | *-lowering-*.f64 |
| 2600× | +-lowering-+.f64 |
| 2600× | +-lowering-+.f32 |
| 1162× | associate-*r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 696 |
| 1 | 224 | 580 |
| 2 | 908 | 520 |
| 3 | 4231 | 517 |
| 0 | 8259 | 517 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) (* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x)) |
(- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) |
1/36 |
(* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) |
x |
(* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) |
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) |
-23/360 |
(* (* x x) (+ -11/15120 (* (* x x) -143/604800))) |
(* x x) |
(+ -11/15120 (* (* x x) -143/604800)) |
-11/15120 |
(* (* x x) -143/604800) |
-143/604800 |
(* x (* x x)) |
(* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x) |
(/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) |
(- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) |
1/6 |
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) |
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(* (* x x) (+ 1/6 (* (* x x) -23/360))) |
(* x x) |
x |
(+ 1/6 (* (* x x) -23/360)) |
1/6 |
(* (* x x) -23/360) |
-23/360 |
(* (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x x)) |
(+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
1/6 |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(* x x) |
x |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
-23/360 |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(+ -11/15120 (* (* x x) -143/604800)) |
-11/15120 |
(* (* x x) -143/604800) |
-143/604800 |
(/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))) |
(* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) |
(- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) |
1/36 |
(* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))) |
x |
(* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))) |
(* x (+ -23/360 (* x (* x -11/15120)))) |
(+ -23/360 (* x (* x -11/15120))) |
-23/360 |
(* x (* x -11/15120)) |
(* x -11/15120) |
-11/15120 |
(* (* x x) (+ -23/360 (* x (* x -11/15120)))) |
(* x x) |
(- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))) |
1/6 |
(/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x)) |
(- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) |
x |
(* 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))))))) |
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) |
-1/5040 |
(tan x) |
| Outputs |
|---|
(* (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) (* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x)) |
(*.f64 x (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) |
(- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
1/36 |
#s(literal 1/36 binary64) |
(* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) |
(*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
x |
(* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) |
(* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) |
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) |
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) |
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
-23/360 |
#s(literal -23/360 binary64) |
(* (* x x) (+ -11/15120 (* (* x x) -143/604800))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ -11/15120 (* (* x x) -143/604800)) |
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* (* x x) -143/604800) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
-143/604800 |
#s(literal -143/604800 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) |
(/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
(* (* x x) (+ 1/6 (* (* x x) -23/360))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/6 (* (* x x) -23/360)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x x))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) -23/360) |
(*.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
-23/360 |
#s(literal -23/360 binary64) |
(* (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) |
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
-23/360 |
#s(literal -23/360 binary64) |
(* x (* x (+ -11/15120 (* (* x x) -143/604800)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(+ -11/15120 (* (* x x) -143/604800)) |
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* (* x x) -143/604800) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
-143/604800 |
#s(literal -143/604800 binary64) |
(/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))) |
(* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) |
(- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))) |
1/36 |
#s(literal 1/36 binary64) |
(* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))) |
x |
(* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))) |
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))) |
(* x (+ -23/360 (* x (* x -11/15120)))) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(+ -23/360 (* x (* x -11/15120))) |
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) |
-23/360 |
#s(literal -23/360 binary64) |
(* x (* x -11/15120)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* x -11/15120) |
(*.f64 x #s(literal -11/15120 binary64)) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* (* x x) (+ -23/360 (* x (* x -11/15120)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) |
(* x x) |
(*.f64 x x) |
(- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) |
1/6 |
#s(literal 1/6 binary64) |
(/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x)) |
(/.f64 (*.f64 x (*.f64 x (*.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 #s(literal 0 binary64) x)))) (tan.f64 x)) |
(- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) |
(*.f64 x (*.f64 x (*.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 #s(literal 0 binary64) x)))) |
x |
(* 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 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) |
(+ 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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)) |
-1/5040 |
#s(literal -1/5040 binary64) |
(tan x) |
(tan.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
| ✓ | accuracy | 99.7% | (*.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))))))) |
| ✓ | accuracy | 85.3% | (/.f64 (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x)) |
| ✓ | accuracy | 71.6% | (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) |
| ✓ | accuracy | 99.3% | (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)) |
| ✓ | accuracy | 99.3% | (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) |
| ✓ | accuracy | 99.2% | (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
| 385.0ms | 131× | 2 | valid |
| 192.0ms | 53× | 3 | valid |
| 185.0ms | 70× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 831 to 58 computations (93% saved)
ival-mult: 258.0ms (51.5% of total)...c/correct-round.rkt:119:19: 103.0ms (20.6% of total)backward-pass: 59.0ms (11.8% of total)ival-add: 32.0ms (6.4% of total)ival-sub: 28.0ms (5.6% of total)ival-div: 15.0ms (3% of total)ival-tan: 4.0ms (0.8% of total)const: 1.0ms (0.2% of total)| Inputs |
|---|
#<alt (* (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) (* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x))> |
#<alt (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))> |
#<alt (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))> |
#<alt (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))> |
#<alt (* (* x x) (+ 1/6 (* (* x x) -23/360)))> |
#<alt (* x x)> |
#<alt (+ 1/6 (* (* x x) -23/360))> |
#<alt (* (* x x) -23/360)> |
#<alt (* (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x x))> |
#<alt (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))> |
#<alt (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))> |
#<alt (/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))> |
#<alt (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x))> |
#<alt (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))> |
#<alt (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))> |
#<alt (/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x))> |
#<alt (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))))> |
#<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 (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))> |
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))> |
#<alt (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x)))> |
#<alt (* x (+ -11/15120 (* (* x x) -143/604800)))> |
#<alt (* (* x x) -143/604800)> |
#<alt (* x (+ -23/360 (* x (* x -11/15120))))> |
#<alt (* (* x x) (+ -23/360 (* x (* x -11/15120))))> |
#<alt (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))> |
#<alt (* x (* x (+ 1/120 (* (* x x) -1/5040))))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt 1/36> |
#<alt (+ 1/36 (* -529/129600 (pow x 4)))> |
#<alt (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))> |
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))> |
#<alt (* -20449/365783040000 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* -20449/365783040000 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* 529/129600 (pow x 4))> |
#<alt (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2))))> |
#<alt (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))> |
#<alt (* 20449/365783040000 (pow x 12))> |
#<alt (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))> |
#<alt (* 20449/365783040000 (pow x 12))> |
#<alt (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))> |
#<alt (* 529/129600 (pow x 3))> |
#<alt (* (pow x 3) (+ 529/129600 (* 253/2721600 (pow x 2))))> |
#<alt (* (pow x 3) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))> |
#<alt (* (pow x 3) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))> |
#<alt (* 20449/365783040000 (pow x 11))> |
#<alt (* (pow x 11) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 11) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 11) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))> |
#<alt (* 20449/365783040000 (pow x 11))> |
#<alt (* (pow x 11) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)))> |
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<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> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* -11/15120 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))> |
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))))> |
#<alt (* -121/228614400 (pow x 10))> |
#<alt (* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))> |
#<alt (* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))> |
#<alt (* -121/228614400 (pow x 10))> |
#<alt (* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))> |
#<alt (* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))> |
#<alt 1/36> |
#<alt (+ 1/36 (* -529/129600 (pow x 4)))> |
#<alt (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))> |
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600)))> |
#<alt (* -121/228614400 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))> |
#<alt (* (pow x 8) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))> |
#<alt (* -121/228614400 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))> |
#<alt (* (pow x 8) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))> |
#<alt (* 529/129600 (pow x 4))> |
#<alt (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2))))> |
#<alt (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))> |
#<alt (* 121/228614400 (pow x 8))> |
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* 121/228614400 (pow x 8))> |
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x)))))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))> |
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))))> |
#<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) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<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 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -23/10 (pow x 2))))> |
#<alt (* x (+ 6 (* (pow x 2) (- (* 3593/4200 (pow x 2)) 23/10))))> |
#<alt (* x (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3593/4200 (* -13709/42000 (pow x 2)))) 23/10))))> |
#<alt (/ 604800/143 (pow x 5))> |
#<alt (/ (- 604800/143 (* 24192000/1859 (/ 1 (pow x 2)))) (pow x 5))> |
#<alt (/ (+ 604800/143 (* -1 (/ (+ 24192000/1859 (* 293158656000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))> |
#<alt (/ (- (+ 604800/143 (* 13575582720000/3455881 (/ 1 (pow x 6)))) (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4)))) (pow x 5))> |
#<alt (/ 604800/143 (pow x 5))> |
#<alt (* -1 (/ (- (* 24192000/1859 (/ 1 (pow x 2))) 604800/143) (pow x 5)))> |
#<alt (* -1 (/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) 604800/143) (pow x 5)))> |
#<alt (* -1 (/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) (+ 604800/143 (* 13575582720000/3455881 (/ 1 (pow x 6))))) (pow x 5)))> |
#<alt (* -23/360 x)> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -23/360 (pow x 3))> |
#<alt (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -11/15120 x)> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* -143/604800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -143/604800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -143/604800 (pow x 2))> |
#<alt (* -23/360 x)> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* -11/15120 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* -11/15120 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<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) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x)) |
| 1.0ms | x | @ | inf | (/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x)) |
| 1.0ms | x | @ | inf | (/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))) |
| 0.0ms | x | @ | 0 | (/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))) |
| 0.0ms | x | @ | inf | (* (* x x) (+ 1/6 (* (* x x) -23/360))) |
| 1× | batch-egg-rewrite |
| 4172× | *-lowering-*.f32 |
| 4172× | *-lowering-*.f64 |
| 2572× | /-lowering-/.f32 |
| 2572× | /-lowering-/.f64 |
| 1692× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 515 |
| 1 | 422 | 325 |
| 2 | 3708 | 313 |
| 0 | 8794 | 313 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) (* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x)) |
(- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) |
(* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) |
(* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(* (* x x) (+ 1/6 (* (* x x) -23/360))) |
(* x x) |
(+ 1/6 (* (* x x) -23/360)) |
(* (* x x) -23/360) |
(* (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x x)) |
(+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) |
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) |
(/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))) |
(* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) |
(- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) |
(* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))) |
(/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x)) |
(- x (* 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 (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) |
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) |
(* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) |
(* x (+ -11/15120 (* (* x x) -143/604800))) |
(* (* x x) -143/604800) |
(* x (+ -23/360 (* x (* x -11/15120)))) |
(* (* x x) (+ -23/360 (* x (* x -11/15120)))) |
(* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))) |
(* x (* x (+ 1/120 (* (* x x) -1/5040)))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))) |
(+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) x)) #s(literal 1/36 binary64)) (*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) x)) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) x))) (*.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) (/.f64 x (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))))))))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/1296 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))))))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x)))))))) |
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(/.f64 (+.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) (-.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 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) (*.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 (neg.f64 (+.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (neg.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 (neg.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) (*.f64 x x))) (neg.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 (+.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 (*.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 #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 (+.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 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)) |
(*.f64 (*.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))))))) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.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 x)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/120 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) x)) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))))) |
(*.f64 x (*.f64 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) |
| 1× | egg-herbie |
| 5634× | *-lowering-*.f32 |
| 5634× | *-lowering-*.f64 |
| 4646× | +-lowering-+.f64 |
| 4646× | +-lowering-+.f32 |
| 1698× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 369 | 3881 |
| 1 | 1182 | 3406 |
| 2 | 3970 | 3286 |
| 0 | 8424 | 3286 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
1/36 |
(+ 1/36 (* -529/129600 (pow x 4))) |
(+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))) |
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))) |
(* -20449/365783040000 (pow x 12)) |
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)) |
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* -20449/365783040000 (pow x 12)) |
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)) |
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* 529/129600 (pow x 4)) |
(* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) |
(* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2)))))) |
(* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2)))))))) |
(* 20449/365783040000 (pow x 12)) |
(* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))) |
(* 20449/365783040000 (pow x 12)) |
(* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))) |
(* 529/129600 (pow x 3)) |
(* (pow x 3) (+ 529/129600 (* 253/2721600 (pow x 2)))) |
(* (pow x 3) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2)))))) |
(* (pow x 3) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2)))))))) |
(* 20449/365783040000 (pow x 11)) |
(* (pow x 11) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* (pow x 11) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))) |
(* (pow x 11) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))) |
(* 20449/365783040000 (pow x 11)) |
(* (pow x 11) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 11) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))) |
(* -1 (* (pow x 11) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(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 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* -23/360 (pow x 2))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* -23/360 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* 1/36 (pow x 2)) |
(* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4)))) |
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))) |
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600)))) |
(* -121/228614400 (pow x 10)) |
(* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400)) |
(* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))) |
(* -121/228614400 (pow x 10)) |
(* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400)) |
(* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))) |
1/36 |
(+ 1/36 (* -529/129600 (pow x 4))) |
(+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))) |
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))) |
(* -121/228614400 (pow x 8)) |
(* -1 (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400)) |
(* (pow x 8) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))) |
(* -121/228614400 (pow x 8)) |
(* -1 (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400)) |
(* (pow x 8) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))) |
(* 529/129600 (pow x 4)) |
(* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) |
(* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) |
(* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) |
(* 121/228614400 (pow x 8)) |
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* 121/228614400 (pow x 8)) |
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x))))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))) |
(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x))) |
(* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))) |
(* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))) |
(* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* 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)) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* 6 x) |
(* x (+ 6 (* -23/10 (pow x 2)))) |
(* x (+ 6 (* (pow x 2) (- (* 3593/4200 (pow x 2)) 23/10)))) |
(* x (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3593/4200 (* -13709/42000 (pow x 2)))) 23/10)))) |
(/ 604800/143 (pow x 5)) |
(/ (- 604800/143 (* 24192000/1859 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (+ 604800/143 (* -1 (/ (+ 24192000/1859 (* 293158656000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)) |
(/ (- (+ 604800/143 (* 13575582720000/3455881 (/ 1 (pow x 6)))) (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4)))) (pow x 5)) |
(/ 604800/143 (pow x 5)) |
(* -1 (/ (- (* 24192000/1859 (/ 1 (pow x 2))) 604800/143) (pow x 5))) |
(* -1 (/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) 604800/143) (pow x 5))) |
(* -1 (/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) (+ 604800/143 (* 13575582720000/3455881 (/ 1 (pow x 6))))) (pow x 5))) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -11/15120 x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -143/604800 (pow x 2)) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* -11/15120 (pow x 3)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 3)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* 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) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
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(*.f64 x #s(literal -11/15120 binary64)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) |
(* -143/604800 (pow x 3)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -143/604800 (pow x 3)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -143/604800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* -11/15120 (pow x 3)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -11/15120 (pow x 3)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -23/360 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -23/360 binary64))) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* -11/15120 (pow x 4)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -11/15120 (pow x 4)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.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)))))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.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)))))))) |
(* -1/5040 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))) |
(* -1/5040 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal -1/5040 binary64)))))) |
(* -1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
Compiled 76033 to 3897 computations (94.9% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1373 | 6 | 1379 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1379 | 18 | 1397 |
| Status | Accuracy | Program |
|---|---|---|
| 4.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x))) | |
| ✓ | 56.0% | (/.f64 (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x)) |
| ✓ | 85.0% | (/.f64 (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) |
| 99.3% | (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) | |
| 99.5% | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) | |
| ✓ | 85.1% | (/.f64 (*.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)))))))) (tan.f64 x)) |
| 99.5% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) | |
| 56.1% | (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) | |
| 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))))) (*.f64 x x)) | |
| ✓ | 99.5% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x)) |
| 24.2% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| ✓ | 99.4% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
| ✓ | 99.5% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
| 46.3% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) | |
| ✓ | 99.0% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 99.5% | (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) | |
| ✓ | 99.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 99.4% | (*.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)) |
Compiled 1641 to 442 computations (73.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x)) |
(*.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64))))) |
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(/.f64 (*.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)))))))) (tan.f64 x)) |
(/.f64 (-.f64 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 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x)) |
(/.f64 (*.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) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) |
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))) |
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x)) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
2 calls:
| 13.0ms | x |
| 8.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x)) |
(*.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))))) |
| Outputs |
|---|
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x)) |
(*.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)) |
| Outputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| Outputs |
|---|
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 86× | *-commutative_binary64 |
| 50× | +-commutative_binary64 |
| 30× | sub-neg_binary64 |
| 26× | neg-sub0_binary64 |
| 26× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 166 |
| 1 | 99 | 166 |
| 2 | 122 | 166 |
| 3 | 142 | 166 |
| 4 | 162 | 166 |
| 5 | 176 | 166 |
| 6 | 186 | 166 |
| 7 | 200 | 166 |
| 8 | 207 | 166 |
| 9 | 211 | 166 |
| 10 | 212 | 166 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| 5594× | *-lowering-*.f32 |
| 5594× | *-lowering-*.f64 |
| 4046× | *-lowering-*.f32 |
| 4046× | *-lowering-*.f64 |
| 3568× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 266 |
| 1 | 296 | 229 |
| 2 | 2752 | 229 |
| 0 | 8880 | 229 |
| 0 | 270 | 3087 |
| 1 | 863 | 2694 |
| 2 | 2894 | 2624 |
| 3 | 7580 | 2624 |
| 0 | 8063 | 2624 |
| 0 | 105 | 401 |
| 1 | 317 | 344 |
| 2 | 977 | 332 |
| 3 | 3159 | 302 |
| 4 | 6705 | 296 |
| 0 | 8243 | 296 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 242 to 101 computations (58.3% saved)
(abs x)
Compiled 982 to 318 computations (67.6% saved)
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