
Time bar (total: 9.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 19 to 15 computations (21.1% saved)
ival-add: 1.0ms (52.9% of total)ival-mult: 1.0ms (52.9% of total)ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1.0s | 8256× | 0 | valid |
ival-sub: 348.0ms (43.2% of total)ival-mult: 234.0ms (29% of total)ival-add: 138.0ms (17.1% of total)ival-div: 60.0ms (7.4% of total)const: 24.0ms (3% of total)backward-pass: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 1400× | accelerator-lowering-fma.f32 |
| 1400× | accelerator-lowering-fma.f64 |
| 618× | distribute-rgt-in |
| 584× | *-lowering-*.f32 |
| 584× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 60 |
| 1 | 51 | 54 |
| 2 | 128 | 52 |
| 3 | 354 | 51 |
| 4 | 897 | 51 |
| 5 | 1659 | 51 |
| 6 | 2327 | 51 |
| 7 | 3408 | 51 |
| 8 | 3803 | 51 |
| 9 | 3928 | 51 |
| 10 | 3951 | 51 |
| 11 | 3962 | 51 |
| 12 | 4002 | 51 |
| 13 | 4425 | 51 |
| 0 | 14 | 17 |
| 1 | 24 | 17 |
| 2 | 40 | 17 |
| 3 | 84 | 17 |
| 4 | 182 | 17 |
| 5 | 363 | 17 |
| 6 | 615 | 17 |
| 7 | 991 | 17 |
| 8 | 1575 | 17 |
| 9 | 2080 | 17 |
| 10 | 2239 | 17 |
| 11 | 2295 | 17 |
| 12 | 2328 | 17 |
| 13 | 2331 | 17 |
| 14 | 2331 | 17 |
| 0 | 2331 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
| Outputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) |
| Inputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))) |
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))) |
| Outputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(+ x (/ (+ (* x -27061/100000) -230753/100000) (- 1 (* x (- -99229/100000 (* x 4481/100000)))))) |
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))) |
(- (/ (+ 230753/100000 (* x -27061/100000)) (+ -1 (* x (- 99229/100000 (* x 4481/100000))))) x) |
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))) |
(+ x (/ (+ 230753/100000 (* x -27061/100000)) (- 1 (* x (- 99229/100000 (* x 4481/100000)))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 67 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 0 | 0 | - | 0 | - | #s(literal 230753/100000 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| 0 | 0 | - | 0 | - | #s(literal 4481/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 27061/100000 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 27061/100000 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 99229/100000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 4481/100000 binary64)) |
| 146.0ms | 512× | 0 | valid |
Compiled 162 to 126 computations (22.2% saved)
ival-mult: 50.0ms (45.7% of total)ival-add: 27.0ms (24.7% of total)ival-sub: 19.0ms (17.4% of total)ival-div: 7.0ms (6.4% of total)const: 6.0ms (5.5% of total)backward-pass: 0.0ms (0% of total)Compiled 18 to 14 computations (22.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 75.4% | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 1400× | accelerator-lowering-fma.f32 |
| 1400× | accelerator-lowering-fma.f64 |
| 584× | *-lowering-*.f32 |
| 584× | *-lowering-*.f64 |
| 344× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 1 | 24 | 70 |
| 2 | 40 | 70 |
| 3 | 84 | 70 |
| 4 | 182 | 70 |
| 5 | 363 | 70 |
| 6 | 615 | 70 |
| 7 | 991 | 70 |
| 8 | 1575 | 70 |
| 9 | 2080 | 70 |
| 10 | 2239 | 70 |
| 11 | 2295 | 70 |
| 12 | 2328 | 70 |
| 13 | 2331 | 70 |
| 14 | 2331 | 70 |
| 0 | 2331 | 59 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
x |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
(+ 230753/100000 (* x 27061/100000)) |
230753/100000 |
(* x 27061/100000) |
27061/100000 |
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
1 |
(* (+ 99229/100000 (* x 4481/100000)) x) |
(+ 99229/100000 (* x 4481/100000)) |
99229/100000 |
(* x 4481/100000) |
4481/100000 |
| Outputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) |
x |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64))))) |
(+ 230753/100000 (* x 27061/100000)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(* x 27061/100000) |
(*.f64 x #s(literal 27061/100000 binary64)) |
27061/100000 |
#s(literal 27061/100000 binary64) |
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (+ 99229/100000 (* x 4481/100000)) x) |
(*.f64 x (-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64))) |
(+ 99229/100000 (* x 4481/100000)) |
(-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(* x 4481/100000) |
(*.f64 x #s(literal 4481/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
| 68.0ms | 256× | 0 | valid |
Compiled 72 to 56 computations (22.2% saved)
ival-mult: 27.0ms (54.3% of total)ival-add: 15.0ms (30.1% of total)ival-div: 3.0ms (6% of total)const: 3.0ms (6% of total)ival-sub: 1.0ms (2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))> |
#<alt (* x 27061/100000)> |
#<alt (* x 4481/100000)> |
#<alt (* (+ 99229/100000 (* x 4481/100000)) x)> |
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))> |
#<alt (+ 230753/100000 (* x 27061/100000))> |
| Outputs |
|---|
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* (+ 99229/100000 (* x 4481/100000)) x) |
| 0.0ms | x | @ | inf | (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
| 0.0ms | x | @ | 0 | (* x 27061/100000) |
| 0.0ms | x | @ | -inf | (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
| 0.0ms | x | @ | inf | (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
| 1× | batch-egg-rewrite |
| 6906× | accelerator-lowering-fma.f32 |
| 6906× | accelerator-lowering-fma.f64 |
| 5346× | *-lowering-*.f32 |
| 5346× | *-lowering-*.f64 |
| 4052× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 1 | 84 | 50 |
| 2 | 730 | 50 |
| 0 | 8408 | 42 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
(* x 27061/100000) |
(* x 4481/100000) |
(* (+ 99229/100000 (* x 4481/100000)) x) |
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(+ 230753/100000 (* x 27061/100000)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal 27061/100000 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) #s(literal 230753/100000 binary64))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) (*.f64 x (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) (*.f64 x (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal -1 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)))))) (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(*.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)))))) |
(*.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -6244406933/10000000000 binary64) x))))) |
(*.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64))))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
(*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(*.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
| 1× | egg-herbie |
| 9790× | accelerator-lowering-fma.f32 |
| 9790× | accelerator-lowering-fma.f64 |
| 3342× | *-lowering-*.f32 |
| 3342× | *-lowering-*.f64 |
| 1658× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 432 |
| 1 | 337 | 424 |
| 2 | 808 | 420 |
| 3 | 2006 | 384 |
| 4 | 6565 | 384 |
| 0 | 8459 | 354 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))))) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+ 230753/100000 (* 27061/100000 x)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+ 230753/100000 (* 27061/100000 x)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
Compiled 15300 to 11435 computations (25.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 398 | 10 | 408 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 398 | 11 | 409 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) | |
| 52.1% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) | |
| ✓ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ▶ | 98.8% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) |
| ▶ | 53.1% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 56.9% | (-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x))) | |
| ▶ | 98.2% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ▶ | 49.7% | (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
| 56.9% | (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| 53.2% | x | |
| ▶ | 49.0% | #s(literal -230753/100000 binary64) |
Compiled 170 to 128 computations (24.7% saved)
| 1× | egg-herbie |
Found 22 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| 1576× | accelerator-lowering-fma.f32 |
| 1576× | accelerator-lowering-fma.f64 |
| 680× | *-lowering-*.f32 |
| 680× | *-lowering-*.f64 |
| 360× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 84 |
| 1 | 44 | 84 |
| 2 | 78 | 84 |
| 3 | 109 | 84 |
| 4 | 166 | 84 |
| 5 | 270 | 84 |
| 6 | 407 | 84 |
| 7 | 750 | 84 |
| 8 | 1535 | 84 |
| 9 | 2087 | 84 |
| 10 | 2267 | 84 |
| 11 | 2346 | 84 |
| 12 | 2406 | 84 |
| 13 | 2417 | 84 |
| 14 | 2419 | 84 |
| 0 | 2419 | 74 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))) |
x |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))) |
(+ 230753/100000 (* x 27061/100000)) |
230753/100000 |
(* x 27061/100000) |
27061/100000 |
(+ 1 (* x 99229/100000)) |
1 |
(* x 99229/100000) |
99229/100000 |
-230753/100000 |
(- x 230753/100000) |
(- x (/ 27061/4481 x)) |
(/ 27061/4481 x) |
27061/4481 |
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000) |
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) |
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)) |
30191289437/10000000000 |
(* x -1900161040244073/1000000000000000) |
-1900161040244073/1000000000000000 |
| Outputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) |
x |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))) |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) |
(+ 230753/100000 (* x 27061/100000)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(* x 27061/100000) |
(*.f64 x #s(literal 27061/100000 binary64)) |
27061/100000 |
#s(literal 27061/100000 binary64) |
(+ 1 (* x 99229/100000)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) |
1 |
#s(literal 1 binary64) |
(* x 99229/100000) |
(*.f64 x #s(literal 99229/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- x 230753/100000) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(- x (/ 27061/4481 x)) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000) |
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))) |
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) |
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) |
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)) |
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
(* x -1900161040244073/1000000000000000) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
-1900161040244073/1000000000000000 |
#s(literal -1900161040244073/1000000000000000 binary64) |
| 137.0ms | 256× | 0 | valid |
Compiled 91 to 68 computations (25.3% saved)
ival-mult: 26.0ms (36.8% of total)ival-div: 24.0ms (34% of total)ival-add: 11.0ms (15.6% of total)ival-sub: 5.0ms (7.1% of total)const: 4.0ms (5.7% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x 27061/100000)> |
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))> |
#<alt (* x 99229/100000)> |
#<alt (+ 230753/100000 (* x 27061/100000))> |
#<alt (- x 230753/100000)> |
#<alt (/ 27061/4481 x)> |
#<alt (- x (/ 27061/4481 x))> |
#<alt (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))> |
#<alt (* x -1900161040244073/1000000000000000)> |
#<alt (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))> |
#<alt (+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)> |
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))))> |
| Outputs |
|---|
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt 27061/99229> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))> |
#<alt (- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))> |
#<alt 27061/99229> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))> |
#<alt (+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt -230753/100000> |
#<alt (- x 230753/100000)> |
#<alt (- x 230753/100000)> |
#<alt (- x 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ -27061/4481 x)> |
#<alt (/ (- (pow x 2) 27061/4481) x)> |
#<alt (/ (- (pow x 2) 27061/4481) x)> |
#<alt (/ (- (pow x 2) 27061/4481) x)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))> |
#<alt (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))> |
#<alt (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))> |
#<alt (* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 27061/4481 x) |
| 0.0ms | x | @ | -inf | (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) |
| 0.0ms | x | @ | 0 | (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) |
| 0.0ms | x | @ | inf | (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) |
| 0.0ms | x | @ | inf | (* x -1900161040244073/1000000000000000) |
| 1× | batch-egg-rewrite |
| 6272× | accelerator-lowering-fma.f32 |
| 6272× | accelerator-lowering-fma.f64 |
| 4300× | /-lowering-/.f32 |
| 4300× | /-lowering-/.f64 |
| 3960× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 70 |
| 1 | 143 | 70 |
| 2 | 1228 | 70 |
| 0 | 8539 | 61 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x 27061/100000) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))) |
(* x 99229/100000) |
(+ 230753/100000 (* x 27061/100000)) |
(- x 230753/100000) |
(/ 27061/4481 x) |
(- x (/ 27061/4481 x)) |
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) |
(* x -1900161040244073/1000000000000000) |
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)) |
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000) |
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))) |
| Outputs |
|---|
(*.f64 x #s(literal 27061/100000 binary64)) |
(*.f64 #s(literal 27061/100000 binary64) x) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (*.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) |
| 1× | egg-herbie |
| 8622× | accelerator-lowering-fma.f32 |
| 8622× | accelerator-lowering-fma.f64 |
| 3060× | *-lowering-*.f32 |
| 3060× | *-lowering-*.f64 |
| 2520× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 708 |
| 1 | 397 | 698 |
| 2 | 950 | 668 |
| 3 | 2735 | 644 |
| 4 | 6616 | 644 |
| 0 | 8088 | 590 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000))) |
27061/99229 |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2))) |
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2))) |
27061/99229 |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) |
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x))) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
(* 99229/100000 x) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
-230753/100000 |
(- x 230753/100000) |
(- x 230753/100000) |
(- x 230753/100000) |
x |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
x |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ -27061/4481 x) |
(/ (- (pow x 2) 27061/4481) x) |
(/ (- (pow x 2) 27061/4481) x) |
(/ (- (pow x 2) 27061/4481) x) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* 30191289437/10000000000 x) |
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) |
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) |
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
(* -1900161040244073/1000000000000000 x) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(* -1900161040244073/1000000000000000 x) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* -1900161040244073/1000000000000000 x) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))) |
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1))) |
| Outputs |
|---|
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) |
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))))) |
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))))) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) |
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x)) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) |
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- x 230753/100000) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(- x 230753/100000) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(- x 230753/100000) |
(+.f64 x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
x |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ -27061/4481 x) |
(/.f64 #s(literal -27061/4481 binary64) x) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x)) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x)) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000) |
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))))) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))) |
(+.f64 #s(literal -27061/99229 binary64) (-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))) |
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))))) |
(+.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x) #s(literal 20191289437/9846394441 binary64)) x) #s(literal -27061/99229 binary64))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))) |
(+.f64 #s(literal -27061/99229 binary64) (-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1))) |
(+.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x) #s(literal 20191289437/9846394441 binary64)) x) #s(literal -27061/99229 binary64))) |
Compiled 12854 to 9043 computations (29.6% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 526 | 2 | 528 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 528 | 11 | 539 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) | |
| ▶ | 52.1% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ✓ | 53.1% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ▶ | 56.9% | (-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) |
| ✓ | 98.2% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ▶ | 58.9% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 49.7% | (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
| ▶ | 56.9% | (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ▶ | 53.2% | x |
| ✓ | 49.0% | #s(literal -230753/100000 binary64) |
Compiled 128 to 95 computations (25.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1651231776/20079361 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -20191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -1651231776/20079361 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) |
| ✓ | accuracy | 99.9% | (-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) |
| ✓ | accuracy | 99.1% | (*.f64 x #s(literal -20191289437/10000000000 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 27061/99229 binary64)) |
| 1024× | accelerator-lowering-fma.f32 |
| 1024× | accelerator-lowering-fma.f64 |
| 416× | *-lowering-*.f32 |
| 416× | *-lowering-*.f64 |
| 256× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 56 |
| 1 | 32 | 56 |
| 2 | 59 | 56 |
| 3 | 102 | 56 |
| 4 | 184 | 56 |
| 5 | 292 | 56 |
| 6 | 556 | 56 |
| 7 | 928 | 56 |
| 8 | 1342 | 56 |
| 9 | 1518 | 56 |
| 10 | 1542 | 56 |
| 11 | 1549 | 56 |
| 0 | 1549 | 53 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x 27061/99229) |
x |
27061/99229 |
(+ (* x 30191289437/10000000000) -230753/100000) |
(* x 30191289437/10000000000) |
30191289437/10000000000 |
-230753/100000 |
(- x (+ 230753/100000 (* x -20191289437/10000000000))) |
(+ 230753/100000 (* x -20191289437/10000000000)) |
230753/100000 |
(* x -20191289437/10000000000) |
-20191289437/10000000000 |
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)) |
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
(+ 27061/4481 (/ -1651231776/20079361 x)) |
27061/4481 |
(/ -1651231776/20079361 x) |
-1651231776/20079361 |
| Outputs |
|---|
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ (* x 30191289437/10000000000) -230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* x 30191289437/10000000000) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- x (+ 230753/100000 (* x -20191289437/10000000000))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(+ 230753/100000 (* x -20191289437/10000000000)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(* x -20191289437/10000000000) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
-20191289437/10000000000 |
#s(literal -20191289437/10000000000 binary64) |
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(+ 27061/4481 (/ -1651231776/20079361 x)) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
-1651231776/20079361 |
#s(literal -1651231776/20079361 binary64) |
| 62.0ms | 256× | 0 | valid |
Compiled 64 to 45 computations (29.7% saved)
ival-div: 10.0ms (29.1% of total)ival-mult: 10.0ms (29.1% of total)ival-add: 8.0ms (23.3% of total)ival-sub: 4.0ms (11.6% of total)const: 3.0ms (8.7% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- x 27061/99229)> |
#<alt (* x 30191289437/10000000000)> |
#<alt (+ (* x 30191289437/10000000000) -230753/100000)> |
#<alt (* x -20191289437/10000000000)> |
#<alt (- x (+ 230753/100000 (* x -20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x -20191289437/10000000000))> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)> |
#<alt (+ 27061/4481 (/ -1651231776/20079361 x))> |
#<alt (- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))> |
| Outputs |
|---|
#<alt -27061/99229> |
#<alt (- x 27061/99229)> |
#<alt (- x 27061/99229)> |
#<alt (- x 27061/99229)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -20191289437/10000000000 x)> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)> |
#<alt 27061/4481> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt 27061/4481> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (/ 1651231776/20079361 (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | -inf | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | inf | (* x -20191289437/10000000000) |
| 0.0ms | x | @ | inf | (* x 30191289437/10000000000) |
| 0.0ms | x | @ | -inf | (* x -20191289437/10000000000) |
| 1× | batch-egg-rewrite |
| 5000× | accelerator-lowering-fma.f32 |
| 5000× | accelerator-lowering-fma.f64 |
| 4198× | /-lowering-/.f32 |
| 4198× | /-lowering-/.f64 |
| 3772× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 50 |
| 1 | 122 | 50 |
| 2 | 1040 | 50 |
| 0 | 8501 | 47 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x 27061/99229) |
(* x 30191289437/10000000000) |
(+ (* x 30191289437/10000000000) -230753/100000) |
(* x -20191289437/10000000000) |
(- x (+ 230753/100000 (* x -20191289437/10000000000))) |
(+ 230753/100000 (* x -20191289437/10000000000)) |
(/ -1651231776/20079361 x) |
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
(+ 27061/4481 (/ -1651231776/20079361 x)) |
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)) |
| Outputs |
|---|
(+.f64 x #s(literal -27061/99229 binary64)) |
(+.f64 #s(literal -27061/99229 binary64) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64))))) (neg.f64 (/.f64 #s(literal 19816708627981/977047873985989 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64))))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 27061/99229 binary64))) (neg.f64 (/.f64 #s(literal 732297721/9846394441 binary64) (+.f64 x #s(literal 27061/99229 binary64))))) |
(-.f64 x #s(literal 27061/99229 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64))))) (/.f64 #s(literal 19816708627981/977047873985989 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 27061/99229 binary64))) (/.f64 #s(literal 732297721/9846394441 binary64) (+.f64 x #s(literal 27061/99229 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal -27061/99229 binary64))))) (/.f64 #s(literal 19816708627981/977047873985989 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal -27061/99229 binary64)))))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -27061/99229 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64))))) (neg.f64 (/.f64 #s(literal 19816708627981/977047873985989 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64))))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 27061/99229 binary64))) (neg.f64 (/.f64 #s(literal 732297721/9846394441 binary64) (+.f64 x #s(literal 27061/99229 binary64))))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -27061/99229 binary64)) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x)) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))) (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x)) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x)) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x)) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))))) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))) (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))) (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))) (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x)) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x)) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x)) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 x (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) |
(*.f64 (+.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 x (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))) |
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))) |
| 1× | egg-herbie |
| 4764× | accelerator-lowering-fma.f32 |
| 4764× | accelerator-lowering-fma.f64 |
| 3120× | *-lowering-*.f32 |
| 3120× | *-lowering-*.f64 |
| 948× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 574 |
| 1 | 182 | 574 |
| 2 | 427 | 522 |
| 3 | 967 | 506 |
| 4 | 2922 | 506 |
| 5 | 4336 | 500 |
| 6 | 5193 | 500 |
| 7 | 5981 | 500 |
| 8 | 6687 | 500 |
| 9 | 7182 | 500 |
| 10 | 7460 | 500 |
| 11 | 7846 | 500 |
| 0 | 8168 | 473 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-27061/99229 |
(- x 27061/99229) |
(- x 27061/99229) |
(- x 27061/99229) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
(* 30191289437/10000000000 x) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(* 30191289437/10000000000 x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
(* -20191289437/10000000000 x) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(* 30191289437/10000000000 x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(* -20191289437/10000000000 x) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(* -20191289437/10000000000 x) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/ -1651231776/20079361 x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
27061/4481 |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
27061/4481 |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(/ 1651231776/20079361 (pow x 2)) |
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
| Outputs |
|---|
-27061/99229 |
#s(literal -27061/99229 binary64) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64))) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(/ 1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x x)) |
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) x)) x) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) x)) x) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)) |
Compiled 10122 to 6865 computations (32.2% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 476 | 0 | 476 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 476 | 11 | 487 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.8% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
| ✓ | 52.1% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ✓ | 53.1% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | 56.9% | (-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) |
| ✓ | 98.2% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ✓ | 58.9% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 49.7% | (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
| ✓ | 56.9% | (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | 53.2% | x |
| ✓ | 49.0% | #s(literal -230753/100000 binary64) |
Compiled 84 to 63 computations (25% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) |
| 2768× | accelerator-lowering-fma.f32 |
| 2768× | accelerator-lowering-fma.f64 |
| 752× | *-lowering-*.f32 |
| 752× | *-lowering-*.f64 |
| 646× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 14 | 52 |
| 2 | 23 | 52 |
| 3 | 38 | 52 |
| 4 | 67 | 52 |
| 5 | 116 | 52 |
| 6 | 204 | 52 |
| 7 | 488 | 52 |
| 8 | 1283 | 52 |
| 9 | 2477 | 52 |
| 10 | 3532 | 52 |
| 11 | 3889 | 52 |
| 12 | 3901 | 52 |
| 13 | 3903 | 52 |
| 14 | 3903 | 52 |
| 15 | 3943 | 52 |
| 16 | 3959 | 52 |
| 0 | 3959 | 52 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)) |
x |
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) |
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) |
27061/4481 |
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x) |
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361) |
(/ 151724043800704/89975616641 x) |
151724043800704/89975616641 |
-1651231776/20079361 |
| Outputs |
|---|
(- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)) |
(+.f64 x (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x)) |
x |
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x) |
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) |
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361) |
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
151724043800704/89975616641 |
#s(literal 151724043800704/89975616641 binary64) |
-1651231776/20079361 |
#s(literal -1651231776/20079361 binary64) |
| 75.0ms | 256× | 0 | valid |
Compiled 54 to 40 computations (25.9% saved)
ival-div: 21.0ms (62.8% of total)ival-add: 9.0ms (26.9% of total)const: 2.0ms (6% of total)ival-sub: 1.0ms (3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)> |
#<alt (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))> |
#<alt (- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x))> |
| Outputs |
|---|
#<alt (/ 151724043800704/89975616641 (pow x 2))> |
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))> |
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))> |
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)> |
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)> |
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))> |
#<alt (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))> |
#<alt (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 x)> |
#<alt (/ 151724043800704/89975616641 (pow x 3))> |
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))> |
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))> |
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (/ 151724043800704/89975616641 (pow x 2))> |
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))> |
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))> |
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))> |
#<alt 27061/4481> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))> |
#<alt 27061/4481> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))> |
#<alt (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))> |
#<alt (/ -151724043800704/89975616641 (pow x 3))> |
#<alt (/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 3))> |
#<alt (/ (- (* x (+ 1651231776/20079361 (* -27061/4481 x))) 151724043800704/89975616641) (pow x 3))> |
#<alt (/ (- (* x (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))) 151724043800704/89975616641) (pow x 3))> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x) |
| 2.0ms | x | @ | inf | (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x) |
| 0.0ms | x | @ | -inf | (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x) |
| 0.0ms | x | @ | 0 | (/ 151724043800704/89975616641 x) |
| 0.0ms | x | @ | 0 | (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) |
| 1× | batch-egg-rewrite |
| 5158× | accelerator-lowering-fma.f32 |
| 5158× | accelerator-lowering-fma.f64 |
| 4770× | *-lowering-*.f32 |
| 4770× | *-lowering-*.f64 |
| 4388× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 74 | 43 |
| 2 | 686 | 43 |
| 0 | 8538 | 43 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x) |
(/ 151724043800704/89975616641 x) |
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) |
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) |
(- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))) x) (/.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (*.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))))) |
(fma.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(fma.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1651231776/20079361 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(fma.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 151724043800704/89975616641 binary64) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) |
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x))) x)) |
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))) (+.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))) (*.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))) |
(*.f64 (+.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))) |
(*.f64 (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)) (*.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))))) |
(*.f64 (+.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)))) |
| 1× | egg-herbie |
| 9824× | accelerator-lowering-fma.f32 |
| 9824× | accelerator-lowering-fma.f64 |
| 2912× | *-lowering-*.f32 |
| 2912× | *-lowering-*.f64 |
| 1490× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 472 |
| 1 | 231 | 456 |
| 2 | 627 | 452 |
| 3 | 1692 | 418 |
| 4 | 5491 | 398 |
| 0 | 8158 | 385 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 151724043800704/89975616641 (pow x 2)) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2)) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2)) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2)) |
(/ -1651231776/20079361 x) |
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x) |
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x) |
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x) |
(/ -1651231776/20079361 x) |
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)) |
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)) |
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 x) |
(/ 151724043800704/89975616641 (pow x 3)) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3)) |
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3)) |
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3)) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/ 151724043800704/89975616641 (pow x 2)) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2)) |
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2)) |
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2)) |
27061/4481 |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) |
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) |
27061/4481 |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) |
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) |
(/ -151724043800704/89975616641 (pow x 3)) |
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 3)) |
(/ (- (* x (+ 1651231776/20079361 (* -27061/4481 x))) 151724043800704/89975616641) (pow x 3)) |
(/ (- (* x (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))) 151724043800704/89975616641) (pow x 3)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
| Outputs |
|---|
(/ 151724043800704/89975616641 (pow x 2)) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x x)) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 x) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) x) |
(/ 151724043800704/89975616641 (pow x 3)) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3)) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) (*.f64 x x)) |
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3)) |
(/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) (*.f64 x (*.f64 x x))) |
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3)) |
(/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) (*.f64 x (*.f64 x x))) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x) |
(/ 151724043800704/89975616641 (pow x 2)) |
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x x)) |
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) |
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) (*.f64 x x)) |
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) (*.f64 x x)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) |
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) |
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) |
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) |
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) |
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) |
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) |
(/ -151724043800704/89975616641 (pow x 3)) |
(/.f64 #s(literal -151724043800704/89975616641 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x)) |
(/ (- (* x (+ 1651231776/20079361 (* -27061/4481 x))) 151724043800704/89975616641) (pow x 3)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x) |
(/ (- (* x (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))) 151724043800704/89975616641) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -27061/4481 binary64)))) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)) |
Compiled 13143 to 9233 computations (29.7% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 401 | 0 | 401 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 401 | 11 | 412 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.8% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
| ✓ | 52.1% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ✓ | 53.1% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | 56.9% | (-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) |
| ✓ | 98.2% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ✓ | 58.9% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 49.7% | (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
| ✓ | 56.9% | (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | 53.2% | x |
| ✓ | 49.0% | #s(literal -230753/100000 binary64) |
Compiled 178 to 131 computations (26.4% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x))) |
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) |
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
2 calls:
| 5.0ms | x |
| 3.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x))) |
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) |
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x))) |
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) |
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| Outputs |
|---|
(-.f64 x #s(literal 230753/100000 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
| Outputs |
|---|
x |
#s(literal -230753/100000 binary64) |
x |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
| Outputs |
|---|
#s(literal -230753/100000 binary64) |
1 calls:
| 0.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 9.937792251945399e-8 | 8.65891345728924 |
| 19.0ms | -72.1494442716621 | -5.281276597688673e-12 |
| 25.0ms | 304× | 0 | valid |
Compiled 136 to 112 computations (17.6% saved)
ival-mult: 7.0ms (43.2% of total)ival-add: 4.0ms (24.7% of total)ival-div: 2.0ms (12.3% of total)ival-sub: 2.0ms (12.3% of total)const: 1.0ms (6.2% of total)backward-pass: 0.0ms (0% of total)| 1× | done |
Compiled 46 to 34 computations (26.1% saved)
Compiled 128 to 96 computations (25% saved)
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