
Time bar (total: 9.3s)
| 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 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 15 to 8 computations (46.7% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2.3s | 7784× | 1 | valid |
| 602.0ms | 7721× | 0 | unsamplable |
| 37.0ms | 472× | 0 | valid |
ival-exp: 1.2s (57% of total)ival-div: 257.0ms (12% of total)ival-sub: 182.0ms (8.5% of total)ival-neg: 160.0ms (7.5% of total)ival-add: 152.0ms (7.1% of total)backward-pass: 151.0ms (7.1% of total)const: 16.0ms (0.7% of total)| 2× | egg-herbie |
| 1626× | fnmadd-define |
| 1560× | sum3-define |
| 1378× | fma-define |
| 1216× | sum5-define |
| 904× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 1 | 46 | 39 |
| 2 | 102 | 39 |
| 3 | 242 | 39 |
| 4 | 678 | 39 |
| 5 | 1786 | 39 |
| 6 | 5400 | 39 |
| 7 | 5816 | 39 |
| 8 | 5908 | 39 |
| 9 | 5985 | 39 |
| 10 | 6055 | 39 |
| 11 | 6111 | 39 |
| 12 | 6135 | 39 |
| 0 | 7 | 13 |
| 1 | 19 | 13 |
| 2 | 37 | 13 |
| 3 | 65 | 13 |
| 4 | 133 | 13 |
| 5 | 340 | 13 |
| 6 | 803 | 13 |
| 7 | 1380 | 13 |
| 8 | 2618 | 13 |
| 9 | 3182 | 13 |
| 10 | 3410 | 13 |
| 11 | 3569 | 13 |
| 12 | 3686 | 13 |
| 0 | 3686 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))) |
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))) |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (recip (exp x))) (+ (exp x) (recip (exp x)))) |
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))) |
(/ (- (recip (exp x)) (exp x)) (+ (exp x) (recip (exp x)))) |
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))) |
(/ (- (exp x) (recip (exp x))) (+ (exp x) (recip (exp x)))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 246 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 7 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 176.0ms | 486× | 1 | valid |
| 3.0ms | 26× | 0 | valid |
Compiled 84 to 23 computations (72.6% saved)
ival-exp: 73.0ms (61.7% of total)ival-div: 15.0ms (12.7% of total)backward-pass: 12.0ms (10.1% of total)ival-neg: 6.0ms (5.1% of total)ival-sub: 6.0ms (5.1% of total)ival-add: 5.0ms (4.2% of total)const: 1.0ms (0.8% of total)Compiled 18 to 14 computations (22.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.0% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ▶ | 10.7% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
Compiled 32 to 21 computations (34.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | -64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 12416 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
| 1070× | fnmadd-define |
| 912× | sum3-define |
| 822× | fmsub-define |
| 814× | fnmsub-define |
| 778× | fma-define |
Useful iterations: 10 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 95 |
| 1 | 42 | 90 |
| 2 | 71 | 90 |
| 3 | 108 | 90 |
| 4 | 188 | 90 |
| 5 | 401 | 90 |
| 6 | 967 | 90 |
| 7 | 1500 | 90 |
| 8 | 2912 | 90 |
| 9 | 3637 | 90 |
| 10 | 3947 | 88 |
| 11 | 4179 | 88 |
| 12 | 4255 | 88 |
| 0 | 4255 | 88 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
(/ 1 (+ 1 (exp (* x -2)))) |
1 |
(+ 1 (exp (* x -2))) |
(exp (* x -2)) |
(* x -2) |
x |
-2 |
(/ 1 (- -1 (exp (* x 2)))) |
(- -1 (exp (* x 2))) |
-1 |
(exp (* x 2)) |
(* x 2) |
2 |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(- (exp x) (exp (neg x))) |
(exp x) |
x |
(exp (neg x)) |
(neg x) |
(+ (exp x) (exp (neg x))) |
| Outputs |
|---|
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/ 1 (+ 1 (exp (* x -2)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (exp (* x -2))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(exp (* x -2)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
x |
-2 |
#s(literal -2 binary64) |
(/ 1 (- -1 (exp (* x 2)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(- -1 (exp (* x 2))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(exp (* x 2)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 97.3% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | accuracy | 10.7% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 10.7% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
| 235.0ms | 243× | 1 | valid |
| 3.0ms | 13× | 0 | valid |
Compiled 99 to 21 computations (78.8% saved)
ival-exp: 61.0ms (49.5% of total)backward-pass: 21.0ms (17% of total)ival-div: 11.0ms (8.9% of total)ival-add: 11.0ms (8.9% of total)ival-sub: 8.0ms (6.5% of total)ival-mult: 7.0ms (5.7% of total)ival-neg: 2.0ms (1.6% of total)const: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))> |
#<alt (/ 1 (+ 1 (exp (* x -2))))> |
#<alt (+ 1 (exp (* x -2)))> |
#<alt (exp (* x -2))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (exp x)> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (exp (neg x))> |
#<alt (/ 1 (- -1 (exp (* x 2))))> |
#<alt (- -1 (exp (* x 2)))> |
#<alt (+ (exp x) (exp (neg x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 x))> |
#<alt (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))> |
#<alt (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt (/ 1 (+ 1 (exp (* -2 x))))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* x (- (* 2 x) 2)))> |
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))> |
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))> |
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))> |
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))> |
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt -1/2> |
#<alt (- (* 1/2 x) 1/2)> |
#<alt (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)> |
#<alt (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt (/ -1 (+ 1 (exp (* 2 x))))> |
#<alt -2> |
#<alt (- (* -2 x) 2)> |
#<alt (- (* x (- (* -2 x) 2)) 2)> |
#<alt (- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2)> |
#<alt (* -1 (+ 1 (exp (* 2 x))))> |
#<alt (* -1 (+ 1 (exp (* 2 x))))> |
#<alt (* -1 (+ 1 (exp (* 2 x))))> |
#<alt (* -1 (+ 1 (exp (* 2 x))))> |
#<alt (* -1 (+ 1 (exp (* 2 x))))> |
#<alt (* -1 (+ 1 (exp (* 2 x))))> |
#<alt (* -1 (+ 1 (exp (* 2 x))))> |
#<alt (* -1 (+ 1 (exp (* 2 x))))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (+ (exp x) (exp (* -1 x)))> |
#<alt (+ (exp x) (exp (* -1 x)))> |
#<alt (+ (exp x) (exp (* -1 x)))> |
#<alt (+ (exp x) (exp (* -1 x)))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
| 1.0ms | x | @ | 0 | (+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
| 1.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1× | batch-egg-rewrite |
| 2818× | /-lowering-/.f32 |
| 2818× | /-lowering-/.f64 |
| 2314× | *-lowering-*.f32 |
| 2314× | *-lowering-*.f64 |
| 1140× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 60 |
| 1 | 72 | 57 |
| 2 | 371 | 57 |
| 3 | 1786 | 57 |
| 0 | 8666 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2))))) |
(/ 1 (+ 1 (exp (* x -2)))) |
(+ 1 (exp (* x -2))) |
(exp (* x -2)) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(exp x) |
(- (exp x) (exp (neg x))) |
(exp (neg x)) |
(/ 1 (- -1 (exp (* x 2)))) |
(- -1 (exp (* x 2))) |
(+ (exp x) (exp (neg x))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
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(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 2522× | sum4-define |
| 2230× | *-lowering-*.f32 |
| 2230× | *-lowering-*.f64 |
| 2138× | +-lowering-+.f64 |
| 2138× | +-lowering-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 978 |
| 1 | 410 | 905 |
| 2 | 1079 | 859 |
| 3 | 2998 | 859 |
| 4 | 4825 | 859 |
| 5 | 6578 | 859 |
| 0 | 8047 | 859 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
1/2 |
(+ 1/2 (* 1/2 x)) |
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2))))) |
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
-1/2 |
(- (* 1/2 x) 1/2) |
(- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2) |
(- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
-2 |
(- (* -2 x) 2) |
(- (* x (- (* -2 x) 2)) 2) |
(- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2) |
(* -1 (+ 1 (exp (* 2 x)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
| 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) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 x)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/15 binary64)))))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 1 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 2 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
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 (* -4/3 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 -4/3 binary64))))))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
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) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))))))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 x) 1/2) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) #s(literal -1/2 binary64)) |
(- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/15 binary64))))))) #s(literal -1/2 binary64)) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(/ -1 (+ 1 (exp (* 2 x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
-2 |
#s(literal -2 binary64) |
(- (* -2 x) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) |
(- (* x (- (* -2 x) 2)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))) |
(- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -4/3 binary64))))))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
(* -1 (+ 1 (exp (* 2 x)))) |
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
Compiled 19269 to 2227 computations (88.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 916 | 5 | 921 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 918 | 5 | 923 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ▶ | 96.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
| ▶ | 96.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ▶ | 100.0% | (tanh.f64 x) |
| ▶ | 96.3% | x |
Compiled 106 to 70 computations (34% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 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 | (tanh.f64 x) |
| 2244× | sum4-define |
| 2116× | fma-lowering-fma.f32 |
| 2116× | fma-lowering-fma.f64 |
| 2016× | fma-define |
| 1118× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 173 |
| 1 | 103 | 152 |
| 2 | 321 | 149 |
| 3 | 872 | 149 |
| 4 | 1791 | 149 |
| 5 | 3040 | 149 |
| 6 | 3423 | 149 |
| 7 | 4284 | 149 |
| 8 | 6795 | 149 |
| 0 | 8225 | 149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(tanh x) |
x |
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 2/15)))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))) |
1 |
(* (* x x) (+ -1/3 (* x (* x 2/15)))) |
(* x x) |
(+ -1/3 (* x (* x 2/15))) |
-1/3 |
(* x (* x 2/15)) |
(* x 2/15) |
2/15 |
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))) |
1 |
(* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))) |
(* x x) |
(+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) |
-1/3 |
(* x (* x (+ 2/15 (* (* x x) -17/315)))) |
(* x (+ 2/15 (* (* x x) -17/315))) |
(+ 2/15 (* (* x x) -17/315)) |
2/15 |
(* (* x x) -17/315) |
-17/315 |
| Outputs |
|---|
(tanh x) |
(tanh.f64 x) |
x |
x |
(* x (+ 1 (* x (* x -1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
x |
(+ 1 (* x (* x -1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x -1/3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* 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 2/15)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/3 (* x (* x 2/15)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ -1/3 (* x (* x 2/15))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
-1/3 |
#s(literal -1/3 binary64) |
(* x (* x 2/15)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* x 2/15) |
(*.f64 x #s(literal 2/15 binary64)) |
2/15 |
#s(literal 2/15 binary64) |
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
-1/3 |
#s(literal -1/3 binary64) |
(* x (* x (+ 2/15 (* (* x x) -17/315)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* x (+ 2/15 (* (* x x) -17/315))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(+ 2/15 (* (* x x) -17/315)) |
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(* (* x x) -17/315) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
-17/315 |
#s(literal -17/315 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 2/15 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 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 | 100.0% | (tanh.f64 x) |
| 285.0ms | 256× | 0 | valid |
Compiled 204 to 26 computations (87.3% saved)
ival-add: 185.0ms (83.7% of total)ival-mult: 22.0ms (9.9% of total)...c/correct-round.rkt:119:19: 11.0ms (5% of total)ival-tanh: 2.0ms (0.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (tanh 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 2/15))))))> |
#<alt (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))> |
#<alt (* (* x x) (+ -1/3 (* x (* x 2/15))))> |
#<alt (* x x)> |
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))))> |
#<alt (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))))> |
#<alt (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))> |
#<alt (* x 2/15)> |
#<alt (* x (* x 2/15))> |
#<alt (+ -1/3 (* x (* x 2/15)))> |
#<alt (* (* x x) -17/315)> |
#<alt (* x (+ 2/15 (* (* x x) -17/315)))> |
#<alt (* x (* x (+ 2/15 (* (* x x) -17/315))))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))> |
#<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 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (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 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<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) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 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 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt -1/3> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* 2/15 x)> |
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* -17/315 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* -17/315 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (tanh x) |
| 3.0ms | x | @ | -inf | (* x (+ 2/15 (* (* x x) -17/315))) |
| 1.0ms | x | @ | inf | (tanh x) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* x (* x -1/3)))) |
| 0.0ms | x | @ | 0 | (* x (+ 1 (* x (* x -1/3)))) |
| 1× | batch-egg-rewrite |
| 3904× | *-lowering-*.f32 |
| 3904× | *-lowering-*.f64 |
| 2470× | /-lowering-/.f32 |
| 2470× | /-lowering-/.f64 |
| 1474× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 140 |
| 1 | 104 | 122 |
| 2 | 354 | 119 |
| 3 | 1080 | 119 |
| 4 | 3290 | 119 |
| 0 | 8906 | 119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(tanh 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 2/15)))))) |
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))) |
(* (* x x) (+ -1/3 (* x (* x 2/15)))) |
(* x x) |
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))))) |
(+ 1 (* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))))) |
(* (* x x) (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))) |
(* x 2/15) |
(* x (* x 2/15)) |
(+ -1/3 (* x (* x 2/15))) |
(* (* x x) -17/315) |
(* x (+ 2/15 (* (* x x) -17/315))) |
(* x (* x (+ 2/15 (* (* x x) -17/315)))) |
| Outputs |
|---|
(+.f64 (tanh.f64 x) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (tanh.f64 x) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (tanh.f64 x) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(+.f64 (tanh.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (tanh.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (tanh.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (tanh.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (tanh.f64 x) (fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x)) #s(literal 1/2 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1/2 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))) |
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) |
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(fma.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) x (*.f64 x #s(literal 2/15 binary64))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 2/15 binary64))) |
(fma.f64 (*.f64 x #s(literal -17/315 binary64)) (*.f64 x x) (*.f64 x #s(literal 2/15 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64) (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x) |
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 1 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 x #s(literal -17/315 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -17/315 binary64)) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -17/315 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) x) |
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 4034× | *-lowering-*.f32 |
| 4034× | *-lowering-*.f64 |
| 2636× | +-lowering-+.f64 |
| 2636× | +-lowering-+.f32 |
| 1794× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1685 |
| 1 | 275 | 1434 |
| 2 | 802 | 1400 |
| 3 | 2726 | 1372 |
| 0 | 8645 | 1372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
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 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (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 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -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) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 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 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* 2/15 x) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* -17/315 (pow x 3)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 3)) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
| 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) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
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 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(* -1/3 (pow x 2)) |
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(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(- (* 2/15 (pow x 2)) 1/3) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -17/315 (pow x 3)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -17/315 (pow x 3)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -17/315 (pow x 4)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -17/315 (pow x 4)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
Compiled 30125 to 3137 computations (89.6% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1262 | 1 | 1263 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1263 | 5 | 1268 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.5% | (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
| ✓ | 96.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ✓ | 96.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 96.3% | x |
Compiled 53 to 34 computations (35.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
| 374× | fma-define |
| 316× | fma-lowering-fma.f32 |
| 316× | fma-lowering-fma.f64 |
| 232× | *-lowering-*.f32 |
| 232× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 42 |
| 1 | 23 | 39 |
| 2 | 46 | 39 |
| 3 | 129 | 39 |
| 4 | 323 | 39 |
| 5 | 385 | 39 |
| 6 | 409 | 39 |
| 7 | 481 | 39 |
| 8 | 523 | 39 |
| 9 | 527 | 39 |
| 0 | 527 | 39 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) x) |
(* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) |
(+ -1/3 (* x (* x 2/15))) |
-1/3 |
(* x (* x 2/15)) |
x |
(* x 2/15) |
2/15 |
(* x (* x x)) |
(* x x) |
| Outputs |
|---|
(+ (* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) x) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))) |
(* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(+ -1/3 (* x (* x 2/15))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) |
-1/3 |
#s(literal -1/3 binary64) |
(* x (* x 2/15)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
x |
(* x 2/15) |
(*.f64 x #s(literal 2/15 binary64)) |
2/15 |
#s(literal 2/15 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 2/15 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) |
| 47.0ms | 256× | 0 | valid |
Compiled 56 to 11 computations (80.4% saved)
ival-mult: 9.0ms (42.9% of total)...c/correct-round.rkt:119:19: 9.0ms (42.9% of total)ival-add: 3.0ms (14.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) x)> |
#<alt (* (+ -1/3 (* x (* x 2/15))) (* x (* x x)))> |
#<alt (+ -1/3 (* x (* x 2/15)))> |
#<alt (* x (* x 2/15))> |
#<alt (* x (* x x))> |
#<alt (* x 2/15)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt -1/3> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (- (* 2/15 (pow x 2)) 1/3)> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
#<alt (* 2/15 x)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) x) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 0.0ms | x | @ | -inf | (+ (* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) x) |
| 0.0ms | x | @ | 0 | (+ (* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) x) |
| 0.0ms | x | @ | 0 | (* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) |
| 1× | batch-egg-rewrite |
| 422× | fma-define |
| 364× | fma-lowering-fma.f32 |
| 364× | fma-lowering-fma.f64 |
| 292× | sum5-define |
| 258× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 25 | 34 |
| 2 | 55 | 34 |
| 3 | 150 | 34 |
| 4 | 369 | 34 |
| 5 | 478 | 34 |
| 6 | 598 | 34 |
| 7 | 696 | 34 |
| 8 | 826 | 34 |
| 9 | 1039 | 34 |
| 0 | 1039 | 34 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) x) |
(* (+ -1/3 (* x (* x 2/15))) (* x (* x x))) |
(+ -1/3 (* x (* x 2/15))) |
(* x (* x 2/15)) |
(* x (* x x)) |
(* x 2/15) |
| Outputs |
|---|
(+.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) x) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) x) |
(fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 2/15 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) x) |
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 2/15 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) x) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 2/15 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x #s(literal 2/15 binary64)) |
(*.f64 #s(literal 2/15 binary64) x) |
(*.f64 (*.f64 x #s(literal 2/15 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2/15 binary64))) |
| 1× | egg-herbie |
| 1886× | fma-lowering-fma.f32 |
| 1886× | fma-lowering-fma.f64 |
| 1646× | sum5-define |
| 1530× | fmsub-define |
| 1474× | fnmadd-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 445 |
| 1 | 107 | 395 |
| 2 | 264 | 392 |
| 3 | 772 | 392 |
| 4 | 2134 | 381 |
| 5 | 4670 | 381 |
| 0 | 8277 | 381 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
| 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) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* 2/15 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(- (* 2/15 (pow x 2)) 1/3) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(- (* 2/15 (pow x 2)) 1/3) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
Compiled 2970 to 231 computations (92.2% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 0 | 177 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 177 | 5 | 182 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.5% | (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
| ✓ | 96.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| ✓ | 96.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 96.3% | x |
Compiled 147 to 80 computations (45.6% 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 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(tanh.f64 x) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(tanh.f64 x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 16 to 8 computations (50% 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 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 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))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.2b remaining (-10.5%)
Threshold costs -0.2b (-10.5%)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| Outputs |
|---|
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 33 |
| 1 | 27 | 33 |
| 1× | saturated |
| Inputs |
|---|
(tanh.f64 x) |
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
x |
| Outputs |
|---|
(tanh.f64 x) |
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))) x) |
(+.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x x)))) |
x |
| 3904× | *-lowering-*.f32 |
| 3904× | *-lowering-*.f64 |
| 2818× | /-lowering-/.f32 |
| 2818× | /-lowering-/.f64 |
| 2522× | sum4-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 60 |
| 1 | 72 | 57 |
| 2 | 371 | 57 |
| 3 | 1786 | 57 |
| 0 | 8666 | 57 |
| 0 | 7 | 13 |
| 1 | 19 | 13 |
| 2 | 37 | 13 |
| 3 | 65 | 13 |
| 4 | 133 | 13 |
| 5 | 340 | 13 |
| 6 | 803 | 13 |
| 7 | 1380 | 13 |
| 8 | 2618 | 13 |
| 9 | 3182 | 13 |
| 10 | 3410 | 13 |
| 11 | 3569 | 13 |
| 12 | 3686 | 13 |
| 0 | 3686 | 13 |
| 0 | 139 | 978 |
| 1 | 410 | 905 |
| 2 | 1079 | 859 |
| 3 | 2998 | 859 |
| 4 | 4825 | 859 |
| 5 | 6578 | 859 |
| 0 | 8047 | 859 |
| 0 | 25 | 140 |
| 1 | 104 | 122 |
| 2 | 354 | 119 |
| 3 | 1080 | 119 |
| 4 | 3290 | 119 |
| 0 | 8906 | 119 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 90 to 53 computations (41.1% saved)
(negabs x)
Compiled 114 to 56 computations (50.9% saved)
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