
Time bar (total: 8.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 14 to 10 computations (28.6% saved)
ival-div: 1.0ms (51.7% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-log: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1.6s | 6103× | 1 | valid |
| 820.0ms | 1905× | 2 | valid |
| 24.0ms | 248× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
ival-log: 1.0s (50.7% of total)ival-div: 343.0ms (17.2% of total)backward-pass: 193.0ms (9.7% of total)ival-mult: 157.0ms (7.9% of total)ival-add: 149.0ms (7.5% of total)ival-sub: 110.0ms (5.5% of total)const: 28.0ms (1.4% of total)| 2× | egg-herbie |
| 928× | fnmadd-define |
| 886× | sum3-define |
| 610× | fma-define |
| 552× | sum5-define |
| 508× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 32 |
| 1 | 36 | 30 |
| 2 | 60 | 30 |
| 3 | 119 | 30 |
| 4 | 245 | 30 |
| 5 | 542 | 30 |
| 6 | 1547 | 30 |
| 7 | 2671 | 30 |
| 8 | 3389 | 30 |
| 0 | 10 | 10 |
| 1 | 16 | 10 |
| 2 | 20 | 10 |
| 3 | 26 | 10 |
| 4 | 35 | 10 |
| 5 | 50 | 10 |
| 6 | 73 | 10 |
| 7 | 98 | 10 |
| 8 | 145 | 10 |
| 9 | 217 | 10 |
| 10 | 271 | 10 |
| 11 | 442 | 10 |
| 12 | 990 | 10 |
| 13 | 1689 | 10 |
| 14 | 1767 | 10 |
| 0 | 1767 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) |
| Outputs |
|---|
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Inputs |
|---|
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) |
(* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x))))) |
(neg (* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x)))))) |
| Outputs |
|---|
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) |
(* 1/2 (log (/ (+ 1 x) (- 1 x)))) |
(* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x))))) |
(* 1/2 (log (/ (- 1 x) (+ 1 x)))) |
(neg (* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x)))))) |
(* (log (/ (- 1 x) (+ 1 x))) -1/2) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 140.0ms | 402× | 1 | valid |
| 59.0ms | 96× | 2 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 95 to 29 computations (69.5% saved)
ival-log: 60.0ms (42.5% of total)ival-add: 26.0ms (18.4% of total)ival-div: 25.0ms (17.7% of total)backward-pass: 12.0ms (8.5% of total)ival-mult: 9.0ms (6.4% of total)ival-sub: 6.0ms (4.2% of total)const: 2.0ms (1.4% of total)Compiled 11 to 8 computations (27.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.8% | (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 422× | sum3-define |
| 384× | sum5-define |
| 328× | fnmadd-define |
| 258× | fma-define |
| 252× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 1 | 14 | 34 |
| 2 | 18 | 34 |
| 3 | 24 | 34 |
| 4 | 33 | 34 |
| 5 | 48 | 34 |
| 6 | 71 | 34 |
| 7 | 96 | 34 |
| 8 | 143 | 34 |
| 9 | 215 | 34 |
| 10 | 266 | 34 |
| 11 | 435 | 34 |
| 12 | 985 | 34 |
| 13 | 1685 | 34 |
| 14 | 1763 | 34 |
| 0 | 1763 | 34 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (log (/ (+ 1 x) (- 1 x)))) |
1/2 |
(log (/ (+ 1 x) (- 1 x))) |
(/ (+ 1 x) (- 1 x)) |
(+ 1 x) |
1 |
x |
(- 1 x) |
| Outputs |
|---|
(* 1/2 (log (/ (+ 1 x) (- 1 x)))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
1/2 |
#s(literal 1/2 binary64) |
(log (/ (+ 1 x) (- 1 x))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/ (+ 1 x) (- 1 x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 7.9% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 54.0ms | 201× | 1 | valid |
| 20.0ms | 48× | 2 | valid |
| 1.0ms | 7× | 0 | valid |
Compiled 36 to 9 computations (75% saved)
ival-log: 27.0ms (52.7% of total)backward-pass: 7.0ms (13.7% of total)ival-mult: 5.0ms (9.8% of total)ival-div: 4.0ms (7.8% of total)ival-add: 4.0ms (7.8% of total)ival-sub: 3.0ms (5.9% of total)const: 1.0ms (2% of total)| Inputs |
|---|
#<alt (* 1/2 (log (/ (+ 1 x) (- 1 x))))> |
#<alt (log (/ (+ 1 x) (- 1 x)))> |
#<alt (/ (+ 1 x) (- 1 x))> |
#<alt (+ 1 x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* 1/2 (log (/ (+ 1 x) (- 1 x)))) |
| 1.0ms | x | @ | -inf | (* 1/2 (log (/ (+ 1 x) (- 1 x)))) |
| 1.0ms | x | @ | inf | (* 1/2 (log (/ (+ 1 x) (- 1 x)))) |
| 0.0ms | x | @ | inf | (log (/ (+ 1 x) (- 1 x))) |
| 0.0ms | x | @ | inf | (/ (+ 1 x) (- 1 x)) |
| 1× | batch-egg-rewrite |
| 2630× | fma-lowering-fma.f32 |
| 2630× | fma-lowering-fma.f64 |
| 2074× | /-lowering-/.f32 |
| 2074× | /-lowering-/.f64 |
| 2036× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 41 | 24 |
| 2 | 317 | 24 |
| 3 | 4256 | 24 |
| 0 | 8267 | 24 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log (/ (+ 1 x) (- 1 x)))) |
(log (/ (+ 1 x) (- 1 x))) |
(/ (+ 1 x) (- 1 x)) |
(+ 1 x) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)) |
| 1× | egg-herbie |
| 2042× | *-lowering-*.f32 |
| 2042× | *-lowering-*.f64 |
| 1842× | sum3-define |
| 1788× | fma-lowering-fma.f32 |
| 1788× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 380 |
| 1 | 341 | 345 |
| 2 | 1011 | 337 |
| 3 | 2857 | 334 |
| 4 | 5104 | 334 |
| 0 | 8012 | 334 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
(* 1/2 (log -1)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/2 (log -1)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/5 binary64)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x #s(literal 2/7 binary64))))))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 11293 to 1763 computations (84.4% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 5 | 453 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 448 | 6 | 454 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
| ▶ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
| ▶ | 99.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ▶ | 7.8% | (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 7.8% | (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 99.4% | x |
Compiled 135 to 92 computations (31.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 64 | (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
| 2956× | fma-lowering-fma.f32 |
| 2956× | fma-lowering-fma.f64 |
| 2084× | fma-define |
| 2074× | sum3-define |
| 1980× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 243 |
| 1 | 104 | 221 |
| 2 | 295 | 215 |
| 3 | 821 | 215 |
| 4 | 1814 | 215 |
| 5 | 2618 | 215 |
| 6 | 2872 | 215 |
| 7 | 3624 | 215 |
| 8 | 6426 | 215 |
| 9 | 7968 | 215 |
| 0 | 8454 | 215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
x |
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
1 |
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(* x x) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
1/3 |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(+ 1/5 (* x (* x 1/7))) |
1/5 |
(* x (* x 1/7)) |
(* x 1/7) |
1/7 |
x |
(* x (+ 1 (* x (* x 1/3)))) |
x |
(+ 1 (* x (* x 1/3))) |
1 |
(* x (* x 1/3)) |
(* x 1/3) |
1/3 |
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))) |
x |
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))) |
1 |
(* x (* x (+ 1/3 (* x (* x 1/5))))) |
(* x (+ 1/3 (* x (* x 1/5)))) |
(+ 1/3 (* x (* x 1/5))) |
1/3 |
(* x (* x 1/5)) |
(* x 1/5) |
1/5 |
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x))))) |
1/2 |
(neg (log (/ (- 1 x) (+ 1 x)))) |
(log (/ (- 1 x) (+ 1 x))) |
(/ (- 1 x) (+ 1 x)) |
(- 1 x) |
1 |
x |
(+ 1 x) |
| Outputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
x |
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) |
1/3 |
#s(literal 1/3 binary64) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) |
(+ 1/5 (* x (* x 1/7))) |
(+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))) |
1/5 |
#s(literal 1/5 binary64) |
(* x (* x 1/7)) |
(*.f64 x (*.f64 x #s(literal 1/7 binary64))) |
(* x 1/7) |
(*.f64 x #s(literal 1/7 binary64)) |
1/7 |
#s(literal 1/7 binary64) |
x |
(* x (+ 1 (* x (* x 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
x |
(+ 1 (* x (* x 1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (* x 1/3)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* x 1/3) |
(*.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) |
x |
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/3 (* x (* x 1/5))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* x (+ 1/3 (* x (* x 1/5)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(+ 1/3 (* x (* x 1/5))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* x (* x 1/5)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* x 1/5) |
(*.f64 x #s(literal 1/5 binary64)) |
1/5 |
#s(literal 1/5 binary64) |
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x))))) |
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(neg (log (/ (- 1 x) (+ 1 x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(log (/ (- 1 x) (+ 1 x))) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) |
(/ (- 1 x) (+ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 7.9% | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/5 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/7 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/7 binary64)) |
| 150.0ms | 172× | 1 | valid |
| 119.0ms | 77× | 2 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 245 to 33 computations (86.5% saved)
ival-mult: 52.0ms (30.7% of total)ival-log: 34.0ms (20.1% of total)...c/correct-round.rkt:119:19: 27.0ms (15.9% of total)backward-pass: 21.0ms (12.4% of total)ival-add: 18.0ms (10.6% of total)ival-neg: 9.0ms (5.3% of total)ival-div: 5.0ms (3% of total)ival-sub: 3.0ms (1.8% of total)const: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))> |
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))> |
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))> |
#<alt (* x x)> |
#<alt (* x (+ 1 (* x (* x 1/3))))> |
#<alt (+ 1 (* x (* x 1/3)))> |
#<alt (* x (* x 1/3))> |
#<alt (* x 1/3)> |
#<alt (* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))> |
#<alt (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))> |
#<alt (* x (* x (+ 1/3 (* x (* x 1/5)))))> |
#<alt (* x (+ 1/3 (* x (* x 1/5))))> |
#<alt (* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))> |
#<alt (log (/ (- 1 x) (+ 1 x)))> |
#<alt (/ (- 1 x) (+ 1 x))> |
#<alt (- 1 x)> |
#<alt (* x 1/7)> |
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))> |
#<alt (* x (* x 1/7))> |
#<alt (* x 1/5)> |
#<alt (* x (* x 1/5))> |
#<alt (neg (log (/ (- 1 x) (+ 1 x))))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* 1/5 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* -1/2 (log -1))> |
#<alt (+ (* -1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* -1/2 (log -1))> |
#<alt (+ (* -1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))> |
#<alt (* -2 x)> |
#<alt (* x (- (* -2/3 (pow x 2)) 2))> |
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))> |
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))> |
#<alt (log -1)> |
#<alt (- (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))> |
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))> |
#<alt (log -1)> |
#<alt (- (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))> |
#<alt (* -1 (log -1))> |
#<alt (- (* 2 (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))> |
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (* 2 (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (* x 1/3) |
| 1.0ms | x | @ | -inf | (* x (+ 1 (* x (* x 1/3)))) |
| 1.0ms | x | @ | 0 | (* 1/2 (neg (log (/ (- 1 x) (+ 1 x))))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
| 0.0ms | x | @ | -inf | (* x 1/3) |
| 1× | batch-egg-rewrite |
| 4284× | *-lowering-*.f32 |
| 4284× | *-lowering-*.f64 |
| 3234× | /-lowering-/.f32 |
| 3234× | /-lowering-/.f64 |
| 2296× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 1 | 200 | 170 |
| 2 | 1819 | 166 |
| 0 | 8571 | 166 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(* x x) |
(* x (+ 1 (* x (* x 1/3)))) |
(+ 1 (* x (* x 1/3))) |
(* x (* x 1/3)) |
(* x 1/3) |
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))) |
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))) |
(* x (* x (+ 1/3 (* x (* x 1/5))))) |
(* x (+ 1/3 (* x (* x 1/5)))) |
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x))))) |
(log (/ (- 1 x) (+ 1 x))) |
(/ (- 1 x) (+ 1 x)) |
(- 1 x) |
(* x 1/7) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(* x (* x 1/7)) |
(* x 1/5) |
(* x (* x 1/5)) |
(neg (log (/ (- 1 x) (+ 1 x)))) |
| Outputs |
|---|
(+.f64 x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) x) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) x) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) (*.f64 x x) x) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) |
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(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/49 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) |
(*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) x) |
(*.f64 x (*.f64 x #s(literal 1/7 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/7 binary64)) x) |
(*.f64 x #s(literal 1/5 binary64)) |
(*.f64 #s(literal 1/5 binary64) x) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/5 binary64)) x) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) |
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x)) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
| 1× | egg-herbie |
| 5660× | *-lowering-*.f32 |
| 5660× | *-lowering-*.f64 |
| 1924× | +-lowering-+.f64 |
| 1924× | +-lowering-+.f32 |
| 1894× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 2043 |
| 1 | 689 | 1879 |
| 2 | 1956 | 1854 |
| 0 | 8474 | 1854 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* 1/3 (pow x 2))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* 1/5 (pow x 3)) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 3)) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* -1/2 (log -1)) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* -1/2 (log -1)) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1))) |
(* -2 x) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2)) |
(log -1) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
(log -1) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* -1 (log -1)) |
(- (* 2 (/ 1 x)) (log -1)) |
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1)) |
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1)) |
(* -1 (log -1)) |
(- (* 2 (/ 1 x)) (log -1)) |
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x))))) |
(* 1/7 (pow x 7)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/7 (pow x 7)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/5 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/7 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x)))) |
(* 1/7 (pow x 6)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) |
(* 1/7 (pow x 6)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x))) |
(* 1/7 (pow x 6)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/7 (pow x 6)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) |
(* 1/5 (pow x 5)) |
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/5 (pow x 5)) |
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal -1/5 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal -1/5 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(* 1/5 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(* 1/5 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* 1/5 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* 1/5 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(* 1/5 (pow x 3)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(* 1/5 (pow x 3)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x))))) |
(* -1/2 (log -1)) |
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(* -1/2 (log -1)) |
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x))) x)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2/3 binary64)))) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/5 binary64)))))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 x x) #s(literal -2/7 binary64))))))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) x)) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) x)) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* 1/7 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* 1/7 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/5 binary64)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/5 binary64) (*.f64 (*.f64 x x) #s(literal 2/7 binary64))))))))) |
(* -1 (log -1)) |
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) |
(- (* 2 (/ 1 x)) (log -1)) |
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1)) |
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1)) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))) (log.f64 #s(literal -1 binary64))))) |
(* -1 (log -1)) |
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) |
(- (* 2 (/ 1 x)) (log -1)) |
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1)) |
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
Compiled 23676 to 2814 computations (88.1% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 883 | 2 | 885 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 885 | 6 | 891 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
| ✓ | 99.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ▶ | 7.8% | (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 99.4% | x |
Compiled 159 to 64 computations (59.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
| 3388× | +-lowering-+.f64 |
| 3388× | +-lowering-+.f32 |
| 3022× | *-lowering-*.f32 |
| 3022× | *-lowering-*.f64 |
| 1136× | +-commutative |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 572 |
| 1 | 96 | 387 |
| 2 | 432 | 382 |
| 3 | 2959 | 378 |
| 4 | 5706 | 374 |
| 5 | 7348 | 374 |
| 0 | 8302 | 374 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (log (/ (- 1 x) (+ x 1)))) |
-1/2 |
(log (/ (- 1 x) (+ x 1))) |
(/ (- 1 x) (+ x 1)) |
(- 1 x) |
1 |
x |
(+ x 1) |
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))) |
x |
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
1 |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
1/3 |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(* x x) |
(+ 1/5 (* x (* x 1/7))) |
1/5 |
(* x (* x 1/7)) |
(* x 1/7) |
1/7 |
(* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(* (* x x) (* x x)) |
(* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))) |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)) |
(- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1) |
| Outputs |
|---|
(* -1/2 (log (/ (- 1 x) (+ x 1)))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
-1/2 |
#s(literal -1/2 binary64) |
(log (/ (- 1 x) (+ x 1))) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/ (- 1 x) (+ x 1)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64)))))) |
x |
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64)))))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) |
1 |
#s(literal 1 binary64) |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
1/3 |
#s(literal 1/3 binary64) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 1/5 (* x (* x 1/7))) |
(+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) |
1/5 |
#s(literal 1/5 binary64) |
(* x (* x 1/7)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* x 1/7) |
(*.f64 x #s(literal 1/7 binary64)) |
1/7 |
#s(literal 1/7 binary64) |
(* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64))))) |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64)))) |
(- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64)) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/7 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/7 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 7.9% | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) |
| 171.0ms | 171× | 1 | valid |
| 111.0ms | 78× | 2 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 579 to 30 computations (94.8% saved)
ival-mult: 45.0ms (25.7% of total)backward-pass: 34.0ms (19.4% of total)...c/correct-round.rkt:119:19: 29.0ms (16.5% of total)ival-log: 29.0ms (16.5% of total)ival-div: 16.0ms (9.1% of total)ival-add: 14.0ms (8% of total)ival-sub: 7.0ms (4% of total)const: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (* -1/2 (log (/ (- 1 x) (+ x 1))))> |
#<alt (log (/ (- 1 x) (+ x 1)))> |
#<alt (/ (- 1 x) (+ x 1))> |
#<alt (- 1 x)> |
#<alt (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))))> |
#<alt (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))> |
#<alt (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))> |
#<alt (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))> |
#<alt (+ x 1)> |
#<alt (* x 1/7)> |
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))> |
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))> |
#<alt (* x (* x 1/7))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* -1/2 (log -1))> |
#<alt (+ (* -1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* -1/2 (log -1))> |
#<alt (+ (* -1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))> |
#<alt (* -2 x)> |
#<alt (* x (- (* -2/3 (pow x 2)) 2))> |
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))> |
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))> |
#<alt (log -1)> |
#<alt (- (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))> |
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))> |
#<alt (log -1)> |
#<alt (- (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/27 (pow x 6)))> |
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))> |
#<alt (* 1/343 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))> |
#<alt (* 1/343 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))> |
#<alt (* 1/27 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))> |
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))> |
#<alt (* 1/343 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))> |
#<alt (* 1/343 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* 1/7 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* 1/7 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* 1/7 (pow x 2))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))) |
| 0.0ms | x | @ | 0 | (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))) |
| 0.0ms | x | @ | -inf | (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))) |
| 0.0ms | x | @ | 0 | (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
| 0.0ms | x | @ | inf | (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
| 1× | batch-egg-rewrite |
| 3344× | *-lowering-*.f32 |
| 3344× | *-lowering-*.f64 |
| 2734× | /-lowering-/.f32 |
| 2734× | /-lowering-/.f64 |
| 2524× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 307 |
| 1 | 195 | 202 |
| 2 | 1859 | 199 |
| 0 | 9332 | 199 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (log (/ (- 1 x) (+ x 1)))) |
(log (/ (- 1 x) (+ x 1))) |
(/ (- 1 x) (+ x 1)) |
(- 1 x) |
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))) |
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(+ x 1) |
(* x 1/7) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(* x (* x 1/7)) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (log1p.f64 x)) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x))) |
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(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) x)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x)) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) x) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/7 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(fma.f64 (*.f64 x #s(literal 1/7 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/7 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/7 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(fma.f64 (*.f64 #s(literal 1/5 binary64) x) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/7 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/49 binary64)))) (-.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/49 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/49 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) x) |
(*.f64 x (*.f64 x #s(literal 1/7 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/7 binary64)) x) |
| 1× | egg-herbie |
| 3792× | *-lowering-*.f32 |
| 3792× | *-lowering-*.f64 |
| 1800× | +-lowering-+.f64 |
| 1800× | +-lowering-+.f32 |
| 1600× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 1403 |
| 1 | 661 | 1313 |
| 2 | 1906 | 1289 |
| 3 | 5579 | 1281 |
| 0 | 8194 | 1281 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* -1/2 (log -1)) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* -1/2 (log -1)) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1))) |
(* -2 x) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2)) |
(log -1) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
(log -1) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 6)) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* 1/27 (pow x 6))) |
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))) |
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))) |
(* 1/343 (pow x 18)) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(* 1/343 (pow x 18)) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(* 1/27 (pow x 6)) |
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))) |
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))) |
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2)))))))) |
(* 1/343 (pow x 18)) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(* 1/343 (pow x 18)) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* 1/7 (pow x 5)) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 5)) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
(* 1/7 (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) |
(* -1/2 (log -1)) |
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(* -1/2 (log -1)) |
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2/3 binary64)))) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/5 binary64)))))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 x x) #s(literal -2/7 binary64)))))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) x)) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (* 2 (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) x)) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (/.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) |
(* 1/7 (pow x 7)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/7 (pow x 7)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) |
(* 1/7 (pow x 6)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) |
(* 1/7 (pow x 6)) |
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/27 (pow x 6))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) |
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) |
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 46/525 binary64)))))))) |
(* 1/343 (pow x 18)) |
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/343 (pow x 18)) |
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/27 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) |
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))) |
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 46/525 binary64))))))) |
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 46/525 binary64) (*.f64 (*.f64 x x) #s(literal 57/875 binary64)))))))))) |
(* 1/343 (pow x 18)) |
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/343 (pow x 18)) |
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(* 1/7 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/7 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/5 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
(* 1/7 (pow x 4)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/7 (pow x 4)) |
(*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* 1/7 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
Compiled 82551 to 3390 computations (95.9% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 937 | 1 | 938 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 938 | 6 | 944 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
| ✓ | 99.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | 7.8% | (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 99.4% | x |
Compiled 153 to 69 computations (54.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))) |
| 2678× | *-lowering-*.f32 |
| 2678× | *-lowering-*.f64 |
| 2176× | +-lowering-+.f64 |
| 2176× | +-lowering-+.f32 |
| 1440× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 543 |
| 1 | 99 | 360 |
| 2 | 459 | 355 |
| 3 | 3059 | 355 |
| 4 | 6127 | 355 |
| 5 | 7098 | 355 |
| 0 | 8233 | 355 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))) |
x |
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
1 |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
1/3 |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(* x x) |
(+ 1/5 (* x (* x 1/7))) |
1/5 |
(* x (* x 1/7)) |
(* x 1/7) |
1/7 |
(* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(* (* x x) (* x x)) |
(* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))) |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)) |
(- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1) |
(* x (* x (+ 1/3 (* x (* x 1/5))))) |
(* x (+ 1/3 (* x (* x 1/5)))) |
(+ 1/3 (* x (* x 1/5))) |
(* x (* x 1/5)) |
(* x 1/5) |
| Outputs |
|---|
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64)))))) |
x |
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64))))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))) |
1 |
#s(literal 1 binary64) |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) |
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) |
1/3 |
#s(literal 1/3 binary64) |
(* (* x x) (+ 1/5 (* x (* x 1/7)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 1/5 (* x (* x 1/7))) |
(+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) |
1/5 |
#s(literal 1/5 binary64) |
(* x (* x 1/7)) |
(*.f64 (*.f64 x x) #s(literal 1/7 binary64)) |
(* x 1/7) |
(*.f64 x #s(literal 1/7 binary64)) |
1/7 |
#s(literal 1/7 binary64) |
(* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64)))) |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64))) |
(- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64)) |
(* x (* x (+ 1/3 (* x (* x 1/5))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) |
(* x (+ 1/3 (* x (* x 1/5)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(+ 1/3 (* x (* x 1/5))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) |
(* x (* x 1/5)) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
(* x 1/5) |
(*.f64 x #s(literal 1/5 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/7 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/5 binary64)) |
| 92.0ms | 256× | 0 | valid |
Compiled 550 to 29 computations (94.7% saved)
ival-mult: 42.0ms (67.9% of total)...c/correct-round.rkt:119:19: 10.0ms (16.2% of total)ival-add: 6.0ms (9.7% of total)ival-div: 2.0ms (3.2% of total)ival-sub: 1.0ms (1.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))))> |
#<alt (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))> |
#<alt (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))> |
#<alt (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))> |
#<alt (* x 1/5)> |
#<alt (* x 1/7)> |
#<alt (* x (+ 1/3 (* x (* x 1/5))))> |
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 5/49 (pow x 9))> |
#<alt (* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 9) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))> |
#<alt (* 5/49 (pow x 9))> |
#<alt (* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 17/147 (* 313/315 (/ 1 (pow x 2)))) (pow x 2))) 5/49)))> |
#<alt (* -1 (* (pow x 9) (- (* 544/1323 (/ 1 (pow x 6))) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))> |
#<alt (* 5/49 (pow x 8))> |
#<alt (* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))> |
#<alt (* 5/49 (pow x 8))> |
#<alt (* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/27 (pow x 6)))> |
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))> |
#<alt (* 1/343 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))> |
#<alt (* 1/343 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))> |
#<alt (* 1/27 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))> |
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))> |
#<alt (* 1/343 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))> |
#<alt (* 1/343 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/5 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* 1/5 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))> |
#<alt (* 1/7 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* 1/7 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))) |
| 0.0ms | x | @ | -inf | (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))) |
| 0.0ms | x | @ | 0 | (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))) |
| 0.0ms | x | @ | inf | (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))) |
| 0.0ms | x | @ | -inf | (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))) |
| 1× | batch-egg-rewrite |
| 3206× | *-lowering-*.f32 |
| 3206× | *-lowering-*.f64 |
| 2582× | fma-lowering-fma.f32 |
| 2582× | fma-lowering-fma.f64 |
| 2462× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 260 |
| 1 | 181 | 161 |
| 2 | 1748 | 161 |
| 0 | 8334 | 161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))) |
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))) |
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) |
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) |
(* x 1/5) |
(* x 1/7) |
(* x (+ 1/3 (* x (* x 1/5)))) |
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))) |
| Outputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64)))))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) x)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x)) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x) |
| 1× | egg-herbie |
| 3314× | *-lowering-*.f32 |
| 3314× | *-lowering-*.f64 |
| 2822× | +-lowering-+.f64 |
| 2822× | +-lowering-+.f32 |
| 1374× | sum5-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 944 |
| 1 | 401 | 882 |
| 2 | 1236 | 872 |
| 3 | 3754 | 869 |
| 4 | 7405 | 869 |
| 0 | 8084 | 869 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 5/49 (pow x 9)) |
(* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2))))) |
(* (pow x 9) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6))))) |
(* 5/49 (pow x 9)) |
(* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 17/147 (* 313/315 (/ 1 (pow x 2)))) (pow x 2))) 5/49))) |
(* -1 (* (pow x 9) (- (* 544/1323 (/ 1 (pow x 6))) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2)))))))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(* 5/49 (pow x 8)) |
(* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6))))) |
(* 5/49 (pow x 8)) |
(* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6))))) |
1 |
(+ 1 (* 1/27 (pow x 6))) |
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))) |
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))) |
(* 1/343 (pow x 18)) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(* 1/343 (pow x 18)) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(* 1/27 (pow x 6)) |
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))) |
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))) |
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2)))))))) |
(* 1/343 (pow x 18)) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(* 1/343 (pow x 18)) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/5 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* 1/5 (pow x 3)) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 3)) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(* 1/7 (pow x 5)) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 5)) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) |
(* 5/49 (pow x 9)) |
(*.f64 #s(literal 5/49 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x)))) |
(* (pow x 9) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 9) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (+.f64 (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 17/147 binary64) (*.f64 x x)) (/.f64 #s(literal -544/1323 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 5/49 (pow x 9)) |
(*.f64 #s(literal 5/49 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 17/147 (* 313/315 (/ 1 (pow x 2)))) (pow x 2))) 5/49))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (/.f64 (+.f64 #s(literal 17/147 binary64) (/.f64 #s(literal 313/315 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 544/1323 (/ 1 (pow x 6))) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (+.f64 (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 17/147 binary64) (*.f64 x x)) (/.f64 #s(literal -544/1323 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) |
(* 5/49 (pow x 8)) |
(*.f64 #s(literal 5/49 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6))))) |
(*.f64 (+.f64 #s(literal 5/49 binary64) (+.f64 (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 17/147 binary64) (*.f64 x x)) (/.f64 #s(literal -544/1323 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64))) |
(* 5/49 (pow x 8)) |
(*.f64 #s(literal 5/49 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6))))) |
(*.f64 (+.f64 #s(literal 5/49 binary64) (+.f64 (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 17/147 binary64) (*.f64 x x)) (/.f64 #s(literal -544/1323 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/27 (pow x 6))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) |
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x #s(literal 1/15 binary64)))))) |
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 46/525 binary64))))))) |
(* 1/343 (pow x 18)) |
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/343 (pow x 18)) |
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/27 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) |
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x #s(literal 1/15 binary64))))) |
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 46/525 binary64)))))) |
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/15 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 46/525 binary64) (*.f64 (*.f64 x x) #s(literal 57/875 binary64))))))))) |
(* 1/343 (pow x 18)) |
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/343 (pow x 18)) |
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/5 x) |
(*.f64 x #s(literal 1/5 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/7 x) |
(*.f64 x #s(literal 1/7 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* 1/5 (pow x 3)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* 1/5 (pow x 3)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) |
(* 1/7 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/7 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))) |
Compiled 42201 to 1390 computations (96.7% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 392 | 2 | 394 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 392 | 8 | 400 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))) |
| 99.8% | (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))) | |
| 99.8% | (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))) | |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
| ✓ | 99.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | 7.8% | (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 99.4% | x |
Compiled 761 to 195 computations (74.4% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
4 calls:
| 18.0ms | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 4.0ms | x |
| 3.0ms | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.8% | 1 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.8% | 1 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 32 to 21 computations (34.4% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 46 |
| 1 | 47 | 46 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
x |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
x |
| 2042× | *-lowering-*.f32 |
| 2042× | *-lowering-*.f64 |
| 1842× | sum3-define |
| 1788× | fma-lowering-fma.f32 |
| 1788× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 10 |
| 1 | 16 | 10 |
| 2 | 20 | 10 |
| 3 | 26 | 10 |
| 4 | 35 | 10 |
| 5 | 50 | 10 |
| 6 | 73 | 10 |
| 7 | 98 | 10 |
| 8 | 145 | 10 |
| 9 | 217 | 10 |
| 10 | 271 | 10 |
| 11 | 442 | 10 |
| 12 | 990 | 10 |
| 13 | 1689 | 10 |
| 14 | 1767 | 10 |
| 0 | 1767 | 10 |
| 0 | 110 | 380 |
| 1 | 341 | 345 |
| 2 | 1011 | 337 |
| 3 | 2857 | 334 |
| 4 | 5104 | 334 |
| 0 | 8012 | 334 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 141 to 90 computations (36.2% saved)
Compiled 120 to 68 computations (43.3% saved)
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